Tuttosport reports that United are ready to loan Zirkzee in the upcoming January window.
Already in October, there were reports that the player himself was keen on a return to Serie A.
Juventus have been linked, where coach Thiago Motta worked with Zirkzee at Bologna.
Aston Villa have also been mentioned as a potential destination for Zirkzee.
The striker's contract with United runs until the summer of 2029.