Van Persie returned to his former club for the first time last weekend and scored a penalty to help United draw 1-1 at the Emirates.
After winning his first league championship Evra believes that the Dutch striker's move to Old Trafford has been vindicated by clinching silverware.
He told The Sun: "He showed them that he hasn't made the wrong choice. It was a long time that he didn't win the league. He has come to Manchester United and won the league.
"He did a good job for Arsenal and I was really disappointed for him. I think he felt it as well.
"To take that penalty he showed what a world class, top player he is. He kept his nerves down to score that penalty and I am happy for him."
The 29-year-old has scored 25 league goals in his maiden campaign at Old Trafford to lead the Premier League scoring charts.