Dedryck Boyata saw red for City after just five minutes after he brought Marouane Chamakh down with the striker through on goal. Samir Nasri put the Gunners ahead before Fabregas saw Joe Hart save his penalty after the Spaniard had been fouled by Vincent Kompany.
But further goals followed in the second half for Alex Song and Nicklas Bendtner and Fabregas felt he and his team-mates were excellent value for their three points.
“I think we played some outstanding football and it’s difficult to stop a side when they play at that tempo,” Fabregas told Sky Sports 1.
“It’s very difficult what to know what will happen (over the rest of the season) and we have an important game on Wednesday (against Newcastle in the Carling Cup), but it’s a good victory against a good team.”
The Spain international did not believe the sending off changed the course of the game.
“Even if they were 15 and we were 11 we would still go and win,” Fabregas said. “We always want to go forward and create chances but the way we played today, we were very difficult to stop. I think we were fantastic.”
The Gunners are now five points behind leaders Chelsea, but Fabregas does not see the Blues as overwhelming title favourites.