The 27-year-old has a legendary career at the Bernabeu and has appeared in Los Blancos for almost ten years with 335 appearances.
According to Sport, however, the world champion has little interest in signing a new contract with Finalizing La Liga champions.
The French international has just under 18 months left on his current contract, so Real will be able to consider offers for his signature.
The report suggests that Varane wants to take on a new challenge after he has already won 18 silverware at his current club.
Manchester United, Manchester City, Chelsea and Bayern Munich should all be interested in the central defender.