The Dutchman, now assistant to Frank de Boer at Ajax, recently expressed an ambition to resume his Gunners career from the dugout in the coming years following a successful 11-year stint with the club as a player.
Asked whether or not an opportunity may materialise for the former Netherlands international, Wenger said: "I am not against it one day," he told the club's official website.
"One, he has the qualities, but you need to have the need as well because we have a big staff already.
"He is now at two clubs that made Dennis Bergkamp. The first, and certainly the most important one, is Ajax. He is at Ajax now and a coach there. The second club that is important in his life is Arsenal. Maybe that will be the next step!"
The 44-year-old was present for the unveiling of his statue outside the Emirates Stadium on Saturday.