Van Bommel will play in Sunday's Legends game between Bayern and United.
Asked about Louis van Gaal's team, Van Bommel told manutd.com: "A club with a track record like United should always play to win titles.
"Regardless of a Dutch revolution, I do think van Gaal and Manchester are a good fit because he is a coach who specialises in attacking football as well as 'Total Football' - a style he made famous.
"I don't know Daley Blind very well but him playing a great World Cup tournament in Brazil last year resulted in a deserved transfer to United. Memphis, on the other hand, I know well. We played together in my last season of my active career as football player. He is extremely talented and possesses fabulous individual qualities."