The 27-year-old Dutchman has been linked with the likes of Liverpool and Chelsea this summer.
Van der Vaart has been quoted as saying that he would be interested in a move to the Premier League.
“I’m determined to stay at Real Madrid,” Van der Vaart told De Telegraaf.
“I want to stay here and succeed at Real. It’s a shame that the English press has misquoted me. They’ve written things that are simply not true.”