The photograph of the England international puffing on a cigarette was published by a national newspaper, prompting Wenger to stress the importance of being a good example as a footballer.
"I disagree completely with that behaviour," the Daily Mail quotes Wenger as saying. "I need to have a chat with him about that. You don't do what damages your health as a footballer. You damage your reputation when you do that in public."
When asked if any disciplinary action will be taken against Wilshere, Wenger said: "I don't know what happened so I can't talk about any punishment."
Despite the off-field incident, Wenger has insisted that Wilshere is very much part of the Frenchman's future plans.
The photo in question has been posted on Twitter from various outlets. Take a look at Wilshere smoking below:
Jack Wilshere caught smoking outside a club: pic.twitter.com/dP334ctID1— FutbolBible (@FutbolBible) October 4, 2013