The 20-year-old French striker arrived at the Emirates Stadium from Auxerre last month on a long-term deal.
"We have signed Sanogo. He has not made the headlines. Why? Because he is not £50m to £100m but I am quite confident he will make them soon on the pitch, and that for me is the most important," Wenger told the club's official website.
Arsenal get their Emirates Cup campaign underway on Saturday when they take on Napoli.