Greenwood has been a revelation for loan club Getafe after assault charges were dropped last year.
The Sun says United's players are open to the forward's return.
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A poll was taken inside the squad and the result shows they'd welcome back Greenwood.
A source said, "His team-mates would not be against him returning to Old Trafford.
"They know all about the background and understand how controversial it would be to have him back. Their decision is a footballing one, pure and simple.
"United have struggled to score goals this season and they need a player like Mason.
"They're watching him score and create goals for Getafe every week."