The Spain international made his Premier League debut for the Blues in their 3-1 win over newly-promoted Burnley and says he has adapted well to life at Stamford Bridge
The former Barcelona star was inspirational as Jose Mourinho's men recovered from falling behind to the Premier League new-boys with goals from Diego Costa, Andre Schurrle and Branislav Ivanovic enough for victory.
Fabregas laid on Schurrle's strike with a glorious pass before delivering the corner for Ivanovic's goal and the €37.5 million [£30m] signing from the Catalan giants says he has adapted to life well at Stamford Bridge and is looking forward to a successful season with the Blues.
"They've made it so easy for me. Everyone has welcomed me since day one, I've felt very comfortable with the staff, with all the players. We have a good connection so I'm expecting a really good year in front of us," he told Sky Sports.
Fabregas admits he did not expect to be playing for Chelsea this season, having previously captained Arsenal, but is desperate to succeed at Stamford Bridge having sealed his move from Camp Nou.
"It's something I could have probably never expected, but as I said football is unexpected," he added. "It brought me here and I will give my best to be as good as I can be and as I said, I'm very happy at the moment and I just want to play football."