Chelsea and Napoli have both expressed interest in 20-year-old Garnacho.
United did not respond to questions around a reported bid from Chelsea that is said to be around the £60m fee they are looking for.
The club have been open around the fact their profit and sustainability rules (PSR) situation is tight and they have written to a leading fans group to admit they are in danger of a breach unless costs are cut.
Under PSR rules, selling a home-grown player like Garnacho creates more room within their submission.
Yet, United know such a move would go down badly with fans who repeatedly chanted the Argentina international’s name during the win over Rangers.
“Let’s see in the next days,” said Amorim. “He’s a Manchester United player and was really important for us today.
“I think he’s improving in every aspect of the game, he was better today playing inside, also outside, changing positions, he’s improving the recovering position. Sometimes he shows some frustration and that is good because he wants more. He has the potential to be so much better in every situation in the game.”
Signed from Atletico Madrid in 2020, Garnacho has made 118 first-team appearances for United since making his debut in 2022 and scored 23 goals.
He has netted eight times in 32 appearances this season but, with United’s next home game not until the day before the close of the transfer window against Crystal Palace, was he saying goodbye to the Old Trafford faithful?
Former United Champions League winner Rio Ferdinand told TNT Sports: “The fans were making their feelings very clear. They love him. He gets you on the edge of your seat.
“I don’t think he would be the one initiating this move. I don’t think he’s the one going: ‘I want to leave’.
“But the system goes against him. Amorim doesn’t play with out and out wingers, so you don’t see the best of him. That will be one of the main reasons why they may listen to offers.”
