Mourinho signed Varane from Lens during his time at Real Madrid.
The defender has since established himself as one of Europe’s best centre-backs.
The France international was on Manchester United’s radar in 2011 before ultimately choosing a move to Spain.
Reports last week suggested Cristiano Ronaldo wanted Madrid to offload Varane.
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Raphael Varane has hinted at a move to Manchester United
Manchester United tried to sign Raphael Varane during his time at Lens
And the defender has admitted he has a close relationship with Mourinho, who has been backed to bid for him this summer.
“I had a special relationship with Mourinho,” he told French newspaper L’Equipe.
“With Ancelotti, I played less, but he did extraordinary things at Real and this is what counts.”
Raphael Varane says he had a close relationship with Jose Mourinho
Varane then admitted that Madrid’s failure to guarantee him a starting spot has previously led to him seeking clarification over his future.
“I mostly wondered if the club [Real Madrid] was in line with my project, namely to play,” he added.
“The president and the coach told me they were going in my direction.
“I put my head down and I worked before and during the pre-season training.”