In a statement of their own, Madrid thanked Varane for his decade of service to the club.
Varane first broke into the team at the Bernabeu aged just 18, and has been a mainstay ever since.
Madrid’s statement read: “Real Madrid CF and Manchester United FC have agreed to transfer the player Raphaël Varane.
“Our club thanks you for your professionalism and exemplary behavior during the ten seasons in which you have defended our shirt, with which you have won 18 titles: 4 Champions League, 4 Club World Cups, 3 European Super Cups, 3 Leagues, 1 Copa del Rey and 3 Spanish Super Cups.
“Real Madrid wants to show all its affection to Raphaël Varane and his family and wishes him good luck in this new stage of his professional career.”