"It is an absolute privilege to say that in my career I have had both these managers at the clubs I have played for," said Van Persie.
"They are both icons as managers in football. They are both world class, one not more nor less than the other. I purely look at this comparison as a footballer. I look at the way they both work on the pitch, in training, at the club and off the field.
"I had a fantastic time with Arsene. I enjoyed training, playing, talking and all the other times I spent with him. I love it that I now experience the same with Sir Alex."
Arsenal and Manchester United meet on November 3.