Milan sent Ancelotti their congratulations on their website.
An announcement read: "Compliments Mister! After eight trophies with the Rossoneri, the English title further confirms the quality and the style of a great coach.
"A Rossoneri legend as a player and as a coach, Carlo Ancelotti has hit again.
"He has not won with Milan or for Milan, but his success in the Premier League has made all the Rossoneri happy.
"Ancelotti has achieved a great feat in charge of Chelsea, in his first year there after a long and exciting adventure with the Rossoneri."
"Our Carlo Ancelotti has done great," said Totti.
"He is a quality coach, a good professional but especially, he is a true man of football.
"I compliment him because it is always good when an Italian achieves something important in the world."