Chelsea currently sit 16th on the long list, with their recent loss to Southampton has also increased the pressure mounted on Jose Mourinho.
Fabregas has insisted he has complete faith in Jose Mourinho and sees nobody fit enough to save them.
“He is the best coach in the history of the club and the best we can have,” Fabregas told Marca .
“Personally, he [Mourinho] helped me in a very complicated moment of my career and he gives me confidence.
“I will do whatever he asks. In face-to-face situations he helps me a lot and I respect him for that. We [Chelsea] are not well, but we will do better. We have the best coach for the club.
“People have not forgotten that five months ago we won the Premier League and a cup, but we have to change the situation fast and soon.”