The Dutchman's late winner inflicted the champions' first Barclays Premier League defeat of the season and took table-topping United six points clear in the process.
"Anything will do, just to win," the Dutchman told Sky Sports. "We had a really good start because of Wayne, two really good clinical finishes, good attacks and then we were in control.
"City always come back, so we knew that, and it's a really special way to end the game: with the three points in a romantic way."
Van Persie's winner came via a deflected free-kick in the second minute of injury-time, after the Dutchman had discussed his intentions with Wayne Rooney.
"Wazza asked me: 'What are you going to do? Are you going to shoot or cross it?' I said: 'I think I'll have a shot,'" said the striker.
Rooney insisted he never had any doubts that van Persie could make best use of the opportunity, saying: "It was obviously a difficult angle, but a player of Robin's ability... we work on that together at the training ground. I had no doubt he could score from there and thankfully he's won us the game."