The Spaniard has struggled for consistent game-time under Antonio Conte this season and started on the bench in yesterday's FA Cup final defeat to Arsenal.
The Sun claimed earlier this month that Fabregas is at the centre of a £25m transfer tussle between Premier League giants Manchester United and Liverpool.
And Jose Mourinho and Jurgen Klopp have been handed a boost in their pursuits of the 30-year-old following his latest comments.
Asked if he had thought about leaving Chelsea, Fabregas said: "Not necessarily, but in football you can never say never.
"Anything can happen but I have always said I feel very, very loved by the fans here and every time I have played I have shown I can play at the top level in this team. It is all about trying to change the manager's decision.
"It is still a good season. We go home with a bad taste because of what has happened but for sure we would rather win the Premier League than the FA Cup."
He added: "I thought I was playing very, very well in the last few months.
"I was in great form and it was a shame I didn't start the game. I was playing very well and the team was winning, scoring a lot of goals and defending well.
"That is football, you have to accept decisions. It is a bad day and a shame because we wanted to win. The most important thing is the team didn't win.
"Sometimes it is all about the coach's decision. I don't think I could have done much more this season, it is the coach's decision and you have to respect that.
"I'm sure he wants the best for the team and if he thinks that is the way to go you have to go with it, we are a team.
"I have nothing against Antonio, he has done a fantastic job.
"Of course every player wants to play more, it is in the genes of a winner and I am one of them. I'm here for whatever the team needs and I have shown that during the season."
