The Bavarians' sporting director has underlined the powerful attacker's importance to the team and has ruled out a summer move
The Croatia international's future at Bayern is in doubt following the imminent arrival of Robert Lewandowski from Borussia Dortmund and clubs including Juventus, Arsenal and Chelsea are rumoured to be keeping close tabs on the 27-year-old.
Nevertheless, Sammer has made it clear that Mandzukic will not be allowed to leave at the end of the season.
"Nobody even has to bother making an approach for Mandzukic," Sammer told Sky90.
"He is incredibly important to Bayern. I always affectionately say that he plays like an animal.
"It is simply amazing how much work he does for the team and how much running he does during a game.
"They always try to provoke him because he really hurts his opponents with his work-rate."
Mandzukic has netted 17 goals in 28 Bundesliga appearances this season.