As noted by Ben Nagle on MailOnline, the 23-year-old Frenchman has regularly been linked with a move to Old Trafford since Mourinho took the top job at United, not least because he has endured irregular amounts of playing time at Real.
Mourinho signed him for Real in 2011 and gave him plenty of first-team action for a youngster. Carlo Ancleotti was less generous, and Varane heaped praise on Mourinho as he assessed his time at Real up to now, per L'Equipe (via Nagle): "I had a special relationship with Mourinho. With Ancelotti, I played less, but he did extraordinary things at Real and this is what counts."
However, while Varane's comments about Mourinho could have been viewed as a hint he might be open to a move to United, when questioned on a potential switch to Old Trafford, he answered about Real, per L'Equipe (via Nagle): "I mostly wondered if the club [Real Madrid] was in line with my project, namely to play. 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."
Under current Real boss Zinedine Zidane, Varane has enjoyed a decent amount of playing time in La Liga this season, making 18 starts in the Spanish top flight, per WhoScored.com.
He has been out injured since late February but could be ready to return for Los Blancos' clash with Alaves on Sunday, according to Marca's Hugo Carrasco.
Given his increasingly key role at Real under Zidane, it is unlikely that Real would be open to letting him go, and he is contracted to the Madrid outfit until 2020.
He has stated before that his future lies at Real:
Real defensive stalwart Pepe is now 34, and Varane is the obvious successor to the Portuguese in the centre of Los Blancos' back line.
While he clearly has a strong relationship with Mourinho and could thrive working under the former Inter Milan manager again, it is clear Varane remains committed to Real.
Per The Sun's Alec Shilton, another of United's centre-back targets is Benfica's Victor Lindelof, who seems a much more realistic summer signing than Varane for the Premier League giants.