Hazard, who has recaptured some of his best form with six goals and five assists in 15 games in all competitions this season, said he was still happy at Chelsea.
"I am always very fine at this club. I still have two years of contract [left]," he told Canal+.
"When I feel the desire to leave, I'll leave. But, for now, I'm a Blue.
"We know the admiration that I have for Real, but I'm at Chelsea. Every year, things were said about me but I stayed.