Amorim’s tenure came to an end on Monday morning after he reign went on a dramatic rant about his role after United’s 1-1 draw against Leeds at the weekend.
After Amorim’s departure, Darren Fletcher has taken over as interim boss, whilst reports suggest Ole Gunnar Solskjaer and Michael Carrick have held talks about a caretaker role until the end of the season.
Speaking on Sky Sports, however, Keane believes that United should look elsewhere and that EFL Cup winner Eddie Howe should be considered.
“'I'd go Eddie Howe. I like him. I like what he's done, his management. He's managed a lot of games, when his teams are at it, they play good football.
“I know he's not for everyone, he'll have his critics but I like what he's done at Newcastle and Bournemouth, he's managed 700 to 800 games, he's still a young man. I love his calmness, I think sometimes Man United need a bit of that.
“We've seen the previous manager going in - I like people with emotion, obviously I'm quite an emotional person - but I think his calmness, what he's done at Newcastle, Champions League a couple of times, winning the (League) Cup. I'd be happy to see him go in there.”
Howe led the Magpies to fifth place last season, qualifying them for this season’s Champions League. He could be a real candidate for the end of the season when the Red Devils search for a permanent manager.