The Frenchman's talks over a new deal with Bayern have stalled.
Bayern have a long held interest in Hudson-Odoi, having had a bid for the 20-year-old turned down last summer.
Hudson-Odoi fell out of favour with Thomas Tuchel towards the end of last season.
He is not expected to play a major role for Tuchel in the 2021/22 season and could force an exit without playing assurances.
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