"We realise that we are stronger when we are playing together, as a partnership," the Dutchman told UEFA Champions magazine.
"You are always stronger, in any sport, in life, when you are doing stuff together. With a player of Wayne's calibre, we can go from strength to strength, and we can become even better.
"One game he will score a couple, the next game I will score a couple. It is important that this partnership is becoming even stronger."
Van Persie believes that he and Rooney boast a "rare" quality.
"In a way we are both "nine-and-a-halves", because we can play high up front and we can drop," he went on.
"That is an extra quality we have, which is quite rare. If you look around you have loads of main strikers, target men, foxes-in-the-boxes, and you have No 10s who are dropping in more.
"With us it's not obvious because we can both do that job. Wayne is doing a bit more, because he is playing behind me, but we can both do it."
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