"It was one of the best moments of my career and I went straight to the boss because without him I would never have had the chance to play in a game like this," the Spain international said.
"Maybe I have not been at my best since my injury, but now I feel great once again.
"This performance has been very important for my confidence, after you have started the season so well and then have an injury.
"I was not playing the way I used to, and I was a bit upset. I needed a performance like that."
Fabregas added: "We only have a small squad, and have had lots of injuries.
"However, now we have important players coming back, like Robin [van Persie] and maybe next week Tomas [Rosicky] and Kolo Toure. So it is all positive."