The winger – who has been linked to a move to Real Madrid – revealed his desire to play in Europe’s premier competition with the Blues.
Hazard is confident the West London side can seal qualification despite stiff competition with Arsenal for the top-four spot.
“Chelsea has to play in the Champions League every year,” the Belgium international said to Sky Sports.
“It’s one of biggest clubs in the world, and for myself also I want to play in the Champions League, and we will.”
“A good day but could be better. We came here thinking about winning the game, a draw is not a bad result for us but I think if we believe a bit more in our chances we can score another goal,” he added.
“We now have two games and we will try and be in the top four
“We started slowly but today we had a reaction and scored our goal. I don’t remember one chance for them in the second half and yes we just played a good game.
“The game was hard, in a good way, this Man Utd – Chelsea game is always tough.”