Hazard believes Chelsea can become the first team to successfully defend the Champions League title.
"I think we played a good match. Oscar scored two goals but after that we weren't able to defend the lead better," he said. "Hopefully we will do that in our next matches.
"I don't feel any pressure because of my price tag, I have already shown how I can play at Lille and hope to continue like that here, scoring and setting up goals to help the team win.
"Of course, we have great players and a great team as we showed when we won the competition last year. If all our players are at their best there is no reason why we can't win it again."