Fabregas, who earlier this week claimed Arsenal will always maintain a special place in his heart, replaces Oscar while club captain John Terry remains sidelined with an ankle injury.
Chelsea remain without a Premier League win this month and conceded all the goals before half-time, with Alexis Sanchez, Theo Walcott and Mesut Ozil on target as Arsenal made merry.
Luiz was criticised for his performance in some quarters, with suggestions Chelsea may not have lost if Terry had played, with the Blues vulnerable to crosses and set pieces.
Saturday's match also marks Conte's first meeting with Arsene Wenger, who is celebrating 20 years as Arsenal manager.
"John is working but he didn't recover for the game against Arsenal", Conte said.
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Chelsea, on the other hand, have stuttered recently in the League after an excellent start, but showed their character when they came from two goals down to beat Leicester in the EFL Cup. "This is the right way and I want my players to create good competition and, game by game, give me the opportunity to choose the best lineup". "When nothing works, it's very hard for individual players to play a good game".
"We win and lose as a team".
"We know we face a good team". I hope I can be with the team on Saturday [against Arsenal]. "It means we must work together to improve the defensive situation", Conte added.
Asked about Conte as a coach he replied: "He's a great coach with a special philosophy, we like him". "But the most important thing is that, now, he's a Chelsea player and playing very well for Chelsea". It's important to play a good game. There is a chance that he can start tomorrow in the line-up. But I'm confident about this. Conte expects him to be available for selection after the October global break, in time for the visits of Leicester City and Manchester United to the Bridge. We will wait one more week.