The Frenchman has reportedly held talks with United about a move to the Premier League.
A report in the Daily Star has claimed that Real Madrid defender Raphael Varane would be interested in moving to Manchester United this summer, but only if the Red Devils appoint Jose Mourinho as manager.
The Star reports that United have held talks with Los Blancos about a £30m move for the Frenchman, but Varane has informed the Premier League side that a deal will not take place if Louis van Gaal remains in charge beyond this summer.
The centre-back has been a key part of the Madrid side that has taken the La Liga title race down to the final game of the season, and has reached the Champions League final in their quest to lift the trophy for the 11th time.
Nevertheless, the Star claims that he is prepared to leave the Bernabeu, provided that it sees him link up with the man that brought him to Madrid in the first place.
While it may have seemed like a simple decision for the United hierarchy to have parted company with the Dutchman to bring Mourinho in a few months ago, especially if they had known that a player like Varane would only come if they made the change, the slight upturn in fortunes that the team has enjoyed in recent weeks may have made the decision much more difficult.
While their defeat to West Ham on Tuesday left their chances of securing a top four spot in some doubt, they still go into the final day with a chance of moving above Manchester City, and have an FA Cup final to look forward to.
But while Varane's stance is unlikely to be the determining factor in whether they make a change in the summer, it must surely influence their decision.