The table-topping Blues maintained their unbeaten start to the campaign as they recorded a 2-1 victory over Crystal Palace as goals from Oscar and Fabregas himself fired Jose Mourinho's side to the three points.
Despite his side's victory, former Arsenal midfielder Fabregas believes that it will be impossible for them to match the achievement of the Gunners from the 2003-4 season.
He told BBC Sport: "We played a great second half especially for 10 against 10. Oscar's fantastic goal helped us and after the break it was a completely different game. It was a solid performance.
"Do we feel invincible? This is a joke. Arsenal went unbeaten in 2003-4, that will never happen again."
Chelsea lead the Premier League by five points after eight matches this season.