The two coaches regularly watches United's senior side in action together, and Meulensteen has been impressed by the Norwegian's astute insight into matches.
"As a player, Ole was so productive off the bench, he had a great ability to read games and opponents, and that will help him also as a coach and a manager," Rene told ManUtd.com.
"He’s got a good eye for tactical ideas about the game. I sit a lot with him upstairs during matches and he has a good sharp view for what’s happening in a game and what he would do to change it and why things are happening. It certainly bodes well."
Solskjaer brings down the curtain on his playing career with this weekend's testimonial against Espanyol, and Reds coach Meulensteen expects the Norwegian's career move into management to mirror his success as a United player.
"The things that made Ole succeed as a player will make him succeed in management," said Rene. "He’s got great determination and focus, as well as a great ability to learn, and these qualities are the same as those you need to be a successful manager."