The Gunners were believed to have entered the race for the 21-year-old, but the Belgium international has revealed that while only three Premier League clubs are on his mind, he has yet to make a final decision.
"I do not know when a decision will be made about my future club," Sky Sports News quotes Hazard as saying.
"It will be between Manchester City, Manchester United and Chelsea. The final choice also depends on how much play that I would get and the position where I play. Not everyone can say that he can choose from these three clubs."
Hazard is thought to be rated at £35m by the Ligue 1 club.