“When I was young I would watch Dennis Bergkamp he was amazing I remember him back from his days at Ajax and throughout his career,” Van Persie said.
Bergkamp achieved cult status at Arsenal scoring 87 times in 315 games during which time he won four Premier League titles and three FA Cup trophies.
The former Arsenal star who arrived on a £7.5 million transfer fee in 2005 had a statue erected outside the stadium in his honour in 2014.
Bergkamp is currently the assistant manager of Dutch giants Ajax Amsterdam.
Van Persie also revealed that he was also a big fan of Argentina star Diego Maradona.
“I love football in general, Maradona was amazing,” he added.
The Netherlands international had a nine season spell at Arsenal before joining rivals Manchester United on a £24 million move.
Van Persie signed a three-year deal with Fenerbahçe earlier in the month and became the second former United player after Luis Nani to join the Yellow Canaries this season.