The 32-year-old dribbled the ball around the defender and goal-keeper before sliding the ball into an empty net.
Van Persie has nine goals and an assist since joining the Yellow Canaries on a three-year move from United over the summer – more than the Red Devils current strikers.
Former Manchester United star and football pundit Rio Ferdinand revealed that he believes his former side made a big mistake selling Van Persie over the summer.
“The likes of Robin van Persie guarantee you 15 goals a season,” Ferdinand said speaking on BT Sport 1 after the goalless draw between Manchester United and Chelsea.
Fenerbahce ended up winning the game 6-1 over Giresunspor and Van Persie ended the game with a brace.
The Yellow Canaries take on Eskisehirspor in their next Turkish Super Lig game.