Parker believes a more experienced set of hands would help the United squad, as well as Solskjaer himself, after a difficult start to the Premier League season.
"He needs someone to come in next to him who can help him improve that squad. Ole needs to be stronger but he needs someone experienced, with more stature, in that dressing room working as his assistant," Parker told BetFred.
"It didn't bother him having different people around him. He gained experience and it made his teams better. Whoever came in made his teams better and it made him a better manager."