The former United midfielder thinks that the Newcastle boss should be appointed as Ruben Amorim's permanent successor at Old Trafford as he will bring "calmness" to the club.
Keane told Sky Sports: "I'd go with Eddie Howe. I like him, I like what he's done. He has managed a lot of games.
"His teams play good football. I know it's not for everyone, he has critics, but I like what he's done at Newcastle and Bournemouth.
"He has managed 700 or 800 games, he's still a young man. I like his calmness. Man United need a bit of that.
"I like people with emotion, I am an emotional person, but I like his calmness.
"He's been in the Champions League a couple of times, won the cup. I'd like to see him go in there."
Amorim faced criticism for his 3-4-3 formation during his 14-month tenure at United but Keane thinks that "personality" is a more important factor for the next man who gets the job.
The pundit said: "You want someone to walk into a dressing room and, as soon as he gets there, the players say, 'Here we go, we are going places.'
"Personality. You can talk about systems and tactics but you want somebody to go into that dressing room and get a grip of the players. I don't mean in an aggressive way. But get the belief into the players - 'This is the way we are going, we will run hard, be attacking, be hard to beat, we will do the hard yards.'
"Teams like Arsenal and Manchester City, the reason they have been successful is because of what they do out of possession."