Bayern are seeking a new coaching appointment with Thomas Tuchel to step down at the end of the season.
Marca says talks have already started between the German giants and Zidane.
Zidane has not coached since the end of 2020/21, when he was managing Real Madrid. He recently revealed that he wants to return to the bench.
Xabi Alonso was preferred for the position, but the Spaniard will continue at the helm of Bayer Leverkusen.