The Belgium winger told Champions Matchday magazine that he did not join the Premier League club to "show off" or be a "star".
He said: "I love to set up my teammates. I am not here to be a star, to show off.
"I am here to play for the others, but if I have to try and clinch a game then I will."
The 21-year-old went on to say that he is still adjusting to life at Chelsea, which has proven to be a change of pace from his previous club Lille.
"It's totally different here. With Lille we could have gone to the South of France and people would not have recognised us. But at Chelsea, the players are at another level," he added.
"Everything has changed for me - the language, the country - but it is up to me to adapt."
Hazard joined over the summer in a deal worth in the region of £32m.