The 20-year-old signed a five-and-a-half year contract at Stamford Bridge in January to move from Borussia Dortmund in a £58million deal which saw him loaned back to the Bundesliga club for the rest of the campaign.
Hazard has been strongly linked with a move to Real Madrid and has just one year left on his existing contract, with Pulisic set to replace the Belgian if he leaves the Premier League outfit.
But the United States international aspires to emulate Hazard’s achievements at the club, regardless of whether the 28-year-old remains at Chelsea.
“It is incredible to see what Eden can do,” he told BBC Sport. “He is a guy to look up to and what I would love to become.
“It is definitely a goal. Any player would be dumb not to want to be in the same team as him.”
Speaking to the club’s official website, Pulisic added: “Eden is a fantastic player, we all know that and if I can get anywhere close to that I will be happy.
“He is a great player. I want to come in, be my own player, and do the best that I can do.”
Pulisic briefly moved to England as a child and had a stint at non-league side Brackley as a seven-year-old.
And the forward spoke about how those experiences helped push him to fulfil his dream of playing in Europe, and more notably in the Premier League.
“I just remember going to a few big games around the Premier League with my dad,” he added. “I remember coming to a Chelsea game and games at a few other Premier League clubs.
“I always wanted to play professionally, especially in Europe. And the Premier League was what I was able to watch growing up in the US, and it is always where I wanted to be.
“Now I just felt that it was the right step [to join Chelsea]. It was a great time in Dortmund but it was a feeling and I still have that.
“This is the biggest stage, it is incredible to come in and be in England and part of this league. If you want to prove yourself it is the greatest stage to be on.”
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Dembele replaced the injured Oliver Burke for the second half, with the game at 1-1 after fringe player Mikey Johnston’s early opener had been cancelled out by Jake Mulraney.
Dembele went through his repertoire of tricks to the delight of the home fans, although it was 20-year-old Johnston who drove in the winner, giving the Hoops the win which meant they finished the season nine points ahead of Rangers, before they were presented with the Ladbrokes Premiership trophy for the eighth successive season.
Interim boss Lennon said of Dembele’s cameo: “He was great to watch. He is the type of player that you want at Celtic.
“He gets the crowd off their feet with their football intelligence.
“Everyone talks about the skill, but his football intelligence was very good.
“I was delighted for him, Obviously we need to keep a lid on it, but it’s great that the fans have seen the glimpse of the future.
“It was a great time, end of the season, 45 minutes.
“The kid is 16, we know how talented he is and we just want to develop him in the right way.
Karamoko Dembele's highlights from his Celtic first team debut, at the age of 16 pic.twitter.com/DITHvvnllX— The Render (@TheRenderSports) May 19, 2019
“He has been training with the first team and he has had a very good season with the development team and I had no hesitation giving him 45 minutes
“There was always a plan to give him some game time, but with Burkey going off we thought we should throw him in there and let him play.”
Lennon made seven changes to the side which lost 2-0 against Rangers at Ibrox last week, with several regulars rested to get over niggles and knocks for the Scottish Cup final against the Gorgie side at Hampden Park next week, where the Hoops can clinch an unprecedented treble treble.
He said: “Filip Benkovic, Nir Bitton, Olivier Ntcham, Scott Sinclair needed game time and it was important that they played for match sharpness and fitness and all the things you get from the game today, bearing in mind that they could be involved in the final next week.”
Jose Mourinho is adamant he will be back in a managerial hotseat this summer with job openings across Europe presenting themselves.
The former Manchester United boss has been gracing television screens across the globe as a pundit after being sacked by the Premier League giants in December.
However, the Portuguese is keen to step back into management with opportunities springing up across European Football.
Indeed, Serie A serial winners Juventus parted ways with Max Allegri on Friday while Bayern Munich boss Niko Kovac is expected to be sacked at the end of the season with Lyon also on the hunt for a new coach after Bruno Genesio stepped down.
“I have a lot of qualities and one of them is to respect other clubs and their management,” Mourinho told French radio station RMC [h/t Goal.com]. “I have never spoken like ‘this club wanted me, they contacted me.’
“When I left Manchester United in December, I immediately took the decision I want to work from summer. I hope to be back to work in July in a project I really like.”