Ancelotti is expected to depart Madrid at the end of the current campaign, with Spanish media reporting that former Los Blancos midfielder Alonso will take over next season.
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"I read that - that he's leaving Bayer Leverkusen, where he has done a fantastic job," Ancelotti told a news conference.
"He has every door open to him because he's shown he is one of the best coaches in the world."