La Gazzetta dello Sport says Zirkzee wants to leave United.
The 23-year-old is open to a move to Juventus in January.
However, no formal talks have taken place between the two clubs so far.
United prefers an outright sale, but is open to a loan-to-purchase arrangement.
Zirkzee has a contract with the English giants that runs until the summer of 2029.
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