Van Persie helped United clinch the Premier League title last night in victory over Aston Villa.
"When you see how he works with the youngsters, he's committed, patient," the 49-year-old told Algemeen Dagblad. "There is a coach hiding inside him, although I think he will play as long as he can."
He added: "Robin loves the game. I told him right after he came here: you here, it's a good fit. He immediately found his way in the group. No arrogance, nothing. Perfect."