The 23-year-old joined from Bologna this summer for a hefty fee of £36million.
However, he has struggled to find his feet in the Premier League, scoring just one goal for the club in 16 appearances.
According to Il Matino in Italy, United's new manager Ruben Amorim does not rate Zirkzee.
He may be willing to cash in through a player swap deal to land a top striker.
United could offer Zirkzee plus cash to Napoli for their striker Victor Osimhen, who is on loan at Galatasaray.
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