With Julen Lopetegui on the brink after a shaky start to his first season in charge at the Santiago Bernabeu, Real badly need a new talisman to take over from Cristiano Ronaldo who left for Juventus in the summer.
However, it is Man United boss Mourinho who Hazard is hoping to be managed by in the future.
"In 12 years I've only had one bad season - the last six months under Mourinho - and it was partly my fault", added Hazard.
Journalist Neil Custis, who works for The Sun, believes the pair could cross paths once again, this time in Spain, where he feels Mourinho could end up next.
He leads this season's Premier League scoring charts with seven goals as Chelsea sit second behind champions Manchester City, on goal difference, in the standings.
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"Mourinho's image of an extremely defensive coach isn't completely right". He is far from adventurous like Guardiola, but the year in which we became champions, we have made many goals and played good games.
"Still, if you asked me now for a coach I would like to go back to work with, I would always say Mourinho. I accepted it", Hazard told Telefoot. I was dreaming about this club.
"I think there's already a deal in place over him".
The Belgium global has also made it clear that he plans to leave on "good terms" with Chelsea should an agreement be reached with Madrid at the end of the season. No doubt, he has helped the Chelsea team to record the success they now enjoy this season.
At the same time Hazard has once again admitted he'd like to play for Los Blancos in the future saying, "I am really in the game, I am playing good football at the moment. You have to get the fruits of your labour".