It is unclear whether Van Nistelrooy, who spent five years at United as a player from 2001 to 2006, winning the Premier League, FA Cup, EFL Cup and FA Community Shield, would remain at the club if Amorim is appointed.
He managed PSV Eindhoven for a year from 2022 before joining at Ten Hag’s assistant in the summer.
Van Nistelrooy said United “can be unstoppable” when “players, staff and supporters pull together”.
“Even on an interim basis, it is a great honour to manage the club I love for however long I am asked to do so,” he said in his programme notes before the Leicester game.
“When I returned in the summer as Erik’s assistant, it was because I believe that Manchester United can climb back to the levels that I knew here as a player,” Van Nistelrooy wrote in his programme notes before the Leicester game.
“I still have that belief, but it will take time and a lot of hard work.
“We’ve seen the squad’s potential at times this season, but clearly not often enough.”
