Former defender O'Leary played 722 times for the Gunners over 18 years and although he seriously cannot see his record being beaten, he would like it if somebody like Wilshere, who is Arsenal through and through, would be the man to do it.
"I'd love to be proved wrong but I just can't see my record being beaten," he told Arsenal.com.
"It's a lot of games. When you look at the numbers I think we were averaging 50 games a season. I didn't think it was a big deal, that was what you had to do, you had to play two or three times a week.
"It's hard to see someone going past my appearances but records are there to be broken and if it is I would be delighted if it's someone like Jack, because then I will know that a tremendous player - who I am sure will improve and improve - played at Arsenal for a long time. And that can only benefit the Club."