Galliani has been linked with a move away from Milan.
"Galliani is the most important person at Milan," Real Madrid boss Ancelotti told Radio 24.
"He is not just a director: he is also a fan, someone who grew up with these colours and has always done his best for his club.
"There is also the directorial aspect, as Galliani has experience nobody else in the world can boast. I don't know what the future holds, but his hypothetical absence would be a big loss."
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