It has been claimed that Mourinho will try to sign the France international in the summer should he take charge at United, but Zidane has ruled out a move.
"Of course it is normal Mourinho would want to sign Raphael," Goal.com quotes Zidane as saying. "He knows him well, he brought him here to the club, but I want Varane to stay in Madrid. He is the future of the club."
The 22-year-old joined Real Madrid from Lens in 2011.