Van Persie struck both goals in the 2-0 triumph.
"We're doing really well and I believe in this team," he told ITV1.
"We are the champions and based on that we are clear favourites.
"I believe in this team and I believe that we will compete until the end again."
Over 80,000 fans flocked from Lancashire to London this afternoon and the Dutchman was pleased to get on the scoresheet via a spectacular header and a second-half deflection.
"It's always nice to score, especially at Wembley," he said. "It's a great day for the fans, for us and for the manager as well. All of us.
"One day, one game and we've won a trophy so it's good. I'm really glad for everyone."
He added: "Last year I scored a couple of headers, not too many so I have to improve on that. I think it went in quite nice."
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