Amorim is under pressure after a mixed start to the campaign, which sees his side 10th in the Premier League and out of the EFL Cup after being knocked out by League Two side Grimsby Town.
Is Simeone the right man for the job?
Despite a win against Sunderland last week, Amorim could face the sack should results not improve on a consistent basis as United continue to spiral downwards.
As reports try to guess his replacement, Keane and Scholes have discussed who they think could take his place. Keane first backed Atletico Madrid manager Diego Simeone, who has never managed in the Premier League.
"I've said it for years, but I’d like to see Atletico Madrid's Simeone go in there. I know his mate (Andrea Berta) has gone to Arsenal, but I think he would just create havoc, good havoc.
"I think he would rock up to that place and say ‘this is how you do things’. There is no guarantee but I’d just like to see his personality there with his track record.
"People may say about the style of football, but they beat Real Madrid and scored five. This idea that he is defensive, he doesn’t like his team giving up goals and chances, but he can play a bit.
"They have that fighting spirit, he’s on the sidelines causing (havoc). I like a big personality. Andrea Berta was a big part of the success at Atletico with the recruitment side of it."
Could Howe replace Amorim?
Scholes disagreed and chose an experienced Premier League manager in Newcastle United’s Eddie Howe, who was poised to replace former manager Erik ten Hag last year.
"Eddie Howe, Eddie Howe," Scholes said. "I'm not sure about his mate (Jason Tindall), but definitely him."
Amorim's sack seems a way off however as owner Sir Jim Ratcliffe back him to stay for at least 3 years this week, despite many fans desperate to see him leave. Amorim will complete a year at the Old Trafford helm in November as he tries to prove that he can handle the pressure of the Premier League that seems to be getting to him.