Van Persie has endured a difficult time on the pitch, both at club and international level over the last 18 months.
Given van Persie's struggles, one would expect the striker to be concerned but the Fenerbahce star has gone on to state that he is not allowing his on-pitch troubles to affect him too much.
Van Persie revealed that he learned to become mentally strong due to the influence of former Arsenal teammate Vieira and added that he can cope with any pressure that comes his way.
The 32-year-old, who left Manchester United for Turkey in the summer, said: "I don't let anything get to me. Mentally, I'm stronger than ever.
"When you're young, you don't know how to deal with situations like this. But let me explain who was my guide to a great balance in life. Patrick Vieira showed me how to stay mentally strong and cope with all pressures.
"My first season at Arsenal was Patrick's last. There were lots of stories about him going to Real Madrid. There was so much happening around this guy, it was incredible. And yet he was a tower of strength and an icon of calmness.'
"He just remained our natural leader. Nothing could effect him. He was totally in balance, he was on top of everything and felt he could master it all.
"As a young player I was completely in awe of him. I admired that mental strength in him. And I think everybody else did."