Just two days prior to the Spurs loss, Rashford expressed in an interview his eagerness for a new challenge and the next steps in his career, which first began in the United academy.
"It is a hard situation but I understand that this kind of player have a lot of people around them, and making some choices that sometimes is not the first idea from the player," Amorim told on Monday.
"They chose to do that interview because it's not just Marcus. I understand that so for me as a coach I'm just focused on the performance, the way he trains.
"The rest, I think, is better for me and the club to deal with that when the times comes."
Amorim also expressed his support for Rashford, who is under contract until 2028, and is keen for the player to stay at United.
The Portuguese said he can "separate" his relationship with Rashford from the decisions of the people advising him.
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"At the moment I'm just focused on improving Marcus," added Amorim.
"We need a lot in this moment, (from a) talented guy like Marcus, and I forget for now the interview. I just see what I see on the pitch."
United's defeat by Bournemouth left them 13th in the Premier League, their lowest position in the top flight at Christmas since 1986.
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Amorim's side return to action at Wolves on Boxing Day before hosting Newcastle next Monday.
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(This story has not been edited by staff and is auto-generated from a syndicated feed.)