The Dutch have been twice runners-up, in 1974 and 1978 finals, but hopes of going one better have been raised by the current crop of stars in South Africa.
Bert van Marwijk's side eased into the knockout stages with an unblemished Group E campaign and they now take on Slovakia in Durban on Monday for a place in the last eight.
Van Persie, who grabbed his first goal of the tournament in Thursday's 2-1 win over Cameroon, is convinced the Oranje can go one better than legends Johan Cruyff and Ruud Gullit and claim international football's most prestigious trophy
"As we go forward, we can meet big, big teams but I'm really positive we can do something with this team," said the Gunners hitman.
"This is the best team I have played in so far. We have been on a great run in matches and when you look at the level in training, it is unbelievable.
"The level is growing and growing every day. It was good when we got here. But now it is amazing.
"This is our best chance ever. If you look at the age of our senior players, most of us are 25 or 26.
"In four years' time these players will be 30, which still isn't bad. But that's the future. I sense this is our moment, this is our time."