The Belgian moved to the Blues this summer after Chelsea fought off fierce competition from both Manchester United and Manchester City for his signature and after drawing their opening game with Juventus 2-2 at home, the playmaker sees no reason why they cannot win the competition again this year.
"There are some great players in this team," Hazard told reporters.
"And, of course, there are going to be teams to beat, just like last year, but I think the players we have at our disposal we can win titles and win the Champions League."
Chelsea let a two-goal lead slip against Juventus on Wednesday night and although Hazard was frustrated with the result, he insists the Blues are still good enough to qualify from the group with ease.
He continued: "It's a bit frustrating because we thought we had the match in our hands - at 2-0 you think you should manage better.
"But we were up against a good team. They've got good players, they made the difference.
|16/1||Chelsea are 16/1 to win the 2012-13 Champions League with Paddy Power|
"But it's still a point, we'll have to go looking for more points but with the quality of the group we'll get there."
After arriving from Lille for a huge fee, Hazard remains aware of the expectations on him to perform this campaign and be consistent, but believes he has settled well into his new surroundings so far.
He added: "I feel it [the pressure of my transfer fee] but I try not to pay too much attention to it. I know I was bought for €40 million [£32m].
"I've already shown at Lille, you've just got to your talking on the pitch, scoring goals so that the team can win."