Wenger, who had never sold a player to the Red Devils during his 16-year reign in North London, said that the club can survive the sale of yet another star player.
"Time heals all things and of course at the moment people are hurt, which I understand," said Wenger. "But what is important for us is to focus on the season in front of us.
"Players have gone, life goes on and the football club is 125 years old. Other big players have left this club and we have always gone from season to season in a strong way.
"We have lost world-class players before and we always survived. It is a massive challenge to replace Van Persie, so we have to be even more of a team and work even more together to compensate that loss."
Van Persie notched 30 Premier League goals last season.