Bayern are seeking a replacement for Thomas Tuchel, who will step down at the end of the season.
Bayer Leverkusen coach Xabi Alonso is favourite for the job, but De Zerbi is also being considered.
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Sky Deutschland says Bayern's new sporting director, Max Eberl, is a supporter of the Italians' playing style and talent development.
He is not the only one, as De Zerbi has also been rumoured to, among others, be of interest for Barcelona and Manchester United
De Zerbi, 44, has been at Brighton since September 2022, and he has a contract until the summer of 2026.