The defender earned a 1-1 draw, cancelling out Willy Boly’s controversial opener at Molineux after the Wolves centre-back scored with his arm.
It was only the fifth time City had dropped points in the Premier League this calendar year, despite dominating for long spells.
The draw set a new club record for Wolves as they extended their winless run in the top flight to 17 games, stretching back to their last spell in the Premier League in 2011/12.
They gave as good as they got in the opening 15 minutes but were fortunate Ilkay Gundogan tamely shot at Rui Patricio after Aguero’s knockdown.
Helder Costa and Diogo Jota were getting joy out wide for Wolves and the hosts refused to let City hit their stride.
Wolves denied them space and time during an energetic start and were almost rewarded in a chaotic few minutes.
First, in the 20th minute, Vincent Kompany, who endured a sloppy first half, was caught in possession inside City’s half and Jota raced away.
His strike was deflected into the path of Jimenez to tap in from four yards but the striker had strayed a yard offside.
City immediately broke and the previously quiet Aguero thumped a post from 15 yards to remind Wolves of his threat.
FT | #WOL 1-1 #MCI— Wolves (@Wolves) 25 August 2018
It's all over at Molineux. The visitors come from behind to earn a point through Aymeric Laporte after Willy Boly had given Wolves a second-half lead. Great game, great Wolves performance. #WOLMCI
Then, 60 seconds later, Patricio produced a wonderful save to deny Sterling, tipping the forward’s brilliant half volley from 25 yards onto the bar.
Pep Guardiola’s side had begun to turn up the heat and Boly’s late tackle thwarted Aguero.
As Wolves’ early threat subsided and City asserted their control, further openings began to show for the visitors and Fernandinho dragged wide from 18 yards.
A first-half opener for City seemed inevitable but Wolves escaped again before the break when Patricio palmed Benjamin Mendy’s fizzing cross to Aguero but gathered the striker’s follow-up.
The visitors continued in the same vein after the break as Wolves sat deep and Kompany nodded Gundogan’s corner over three minutes into the second half.
But, against the run of play, the hosts took the lead in contentious fashion in the 57th minute.
Ederson needed to save from Costa after the forward nipped in ahead of a dithering Laporte as Wolves earned a corner.
They played it short to Joao Moutinho and his wicked cross was deflected in by the diving Boly at the far post.
But the defender clearly knocked the ball in with his arm, which was missed by the officials, to leave Molineux in raptures.
Guardiola threw on Gabriel Jesus for Bernardo Silva in response and David Silva’s penalty appeals went unrewarded.
But City levelled after 69 minutes with a goal of supreme simplicity when Laporte crashed in a header from Gundogan’s free-kick.
It sucked the life out of Wolves and Patricio’s fine reactions stopped Jesus’ fine header making it 2-1.
Wolves conjured one final chance when Jota lashed over before Augero’s stoppage-time free kick struck the bar for City.
Unai Emery has told Aaron Ramsey to focus on his football and not on his future as his contract impasse at Arsenal continues.
In recent seasons, the Gunners have seen on-pitch matters overshadowed by drawn-out contract negotiations with the likes of Mesut Ozil, Alexis Sanchez, Jack Wilshere and previous manager Arsene Wenger.
Sanchez joined Manchester United in the winter transfer window when it was clear he would not be signing a new deal, while Wilshere will return to Arsenal for the first time on Saturday having left for West Ham when his contract expired this summer.
Ozil agreed fresh terms in January to become the best-paid player in the club’s history, and reports suggest Ramsey, whose own deal expires at the end of the current season, wants to move closer to the wage of his German team-mate.
Emery picked Ramsey in the opening weekend defeat to Manchester City but the Wales midfielder came off early in the second half before being dropped to the bench for last weekend’s trip to Chelsea.
Now the new Arsenal head coach has called on Ramsey to keep his mind on playing well for the club and not be distracted by things away from the pitch.
“I spoke with him last week,” Emery said when asked about Ramsey’s situation.
“I said; I want you focused only on training and only on the match, you show us the capacity to help the team.
“The contract is another thing for his agent and the club but we want and I need his focus only on training, only on the match and on his performance each day.”
Asked whether he felt the required level of focus had been missing from Ramsey, Emery replied: “I don’t know but I am thinking in the present. I spoke with him last week but now, today, my focus is on the match and I want the player to be focused only on Saturday.”
Ramsey could yet be recalled to the starting line-up for Saturday’s visit of West Ham having come on as a second-half substitute in the 3-2 loss at Stamford Bridge, with Emery still searching for his first point as Arsenal boss.
One midfielder who has impressed in his short time in north London is summer signing Matteo Guendouzi.
The 19-year-old France youth international has started both games under Emery and has been one of Arsenal’s brightest players in the early stages of the campaign.
“He is improving, he is playing and working every day,” Emery said of the former Lorient man.
“He is hungry – he wants to improve, he wants to learn every day, every match.
“It is a very big, positive surprise with him. Last year he was in Ligue 2 but when the club (Arsenal) spoke with me about him, the club had worked and watched him, we agreed (to sign him).
“When he arrived here – not the first day, which is very difficult – but after two weeks we spoke and said: ‘his performance is a very big surprise’ but also in each training and match we need him to show this progress consistently.”
David Silva is yet to decide if he will play on beyond the end of his current contract at Manchester City.
The Spanish playmaker, who retired from international football earlier this month, signed a new deal last November committing him to City until 2020.
That will take the former Valencia midfielder up to 10 years’ service at the Etihad Stadium, by which time he will be 34.
Silva said: “I have two more years on my contract here. I feel great here. I want to stay until the end of my contract and then I’ll see how I feel physically and mentally to carry on.”
Silva made his 250th Premier League appearance for City and scored in the champions’ 6-1 thrashing of Huddersfield last weekend.
The occasion had added poignancy for Silva as his son Mateo, who was born prematurely during last season, was in attendance along with many other members of his family.
Silva said: “It’s my ninth season here, I have played lots of games, enjoyed lots of great moments too. At the end, this is like a family to me.
“It was very special. Besides the milestone of it being my 250th game and the goal I scored, having my son there healthy at the Etihad Stadium is something that I will always remember.”
City captain Vincent Kompany is set to reach the same 250 Premier League appearance milestone in Saturday’s game at Wolves.
Silva said: “He’s a good captain because he always focuses on the details. He always looks after the best interests of the team.
“He’s been here for a long time and I think he gives a lot to the team. He is an outstanding player. He gives an additional boost to the team.”
Teenage goalkeeper Aro Muric is set to be on the bench at Molineux after being recalled from his loan at NAC Breda this week following injury to Claudio Bravo.
Chile international Bravo is facing a lengthy lay-off after undergoing surgery to repair a ruptured Achilles tendon.
Muric, 19, was brought back to bolster options because the untried Daniel Grimshaw, 20, was the only other back-up to first-choice Ederson.
With the transfer window having closed, manager Pep Guardiola said this was the only option the club considered. Looking to bring in a free agent was ruled out.
Guardiola, however, does believe that clubs should be able to make loan signings when serious injuries occur.
Speaking at a press conference, the City boss said: “Yes – not just for the goalkeeper but when there are big, big injuries to players.
“If we were not allowed to bring back Aro, I don’t know what would have happened. Maybe the federation can think about that when there are long, long injuries and it is still the period where the European window is open, maybe you could do it.
“Here it is closed and it is good that the competition starts with the whole squad but maybe we could think about that, especially when the injuries are five or six months.
“We would have considered it, that is true.”