"Mario Mandzukic is an important player who has been at a great level at Bayern in recent years. He's an important striker for the way we want to play and we will have to work hard with him to bring out the very best he can give us," Simeone wrote in his exclusive column for Goal.com.
"We hope he brings his personality, his character and his goals to keep on building a competitive team alongside the other players. Let's hope he's another in Atletico's long line of great strikers."
Mandzukic scored 26 times in 48 games for Bayern last season.