The 29-year-old Netherlands international joined United from the Gunners in the summer on a four-year contract.
"I have had special coaches all in their own way," Van Persie told OnsOranje.
"[Bert] van Marwijk, Wenger, [Marco] van Basten, Ferguson. Piece by piece they are special.
"I think I have been [one of] the only players ever who has worked under Wenger and Ferguson. That's special."
Defender Mikael Silvestre is the other footballer to have played under both Wenger and Ferguson.