The midfielder scored both goals in Arsenal's 2-0 home win against Marseille on Tuesday night to leave the Gunners on the verge of a place in the Champions League last 16.
Wilshere struck twice in the 2-0 home victory over Marseille on Tuesday night to leave the Gunners top of Champions League Group F with 12 points and on the brink of qualification for the knockout stages.
Wenger recently suggested Wilshere will never be a regular goalscorer but the Arsenal boss said he would be happy to be proved wrong after the 21-year-old’s goals against Marseille.
“No [I don’t think he will be a goalscorer] but I have nothing against it. If I'm wrong then I’m happy,” said Wenger. “I like his first goal because in the past he has rushed a little bit. He’s starting to think ‘what Ramsey can do I can do as well’. He’s calm in front of goal and the first goal shows that.
“It’s a joke about Aaron but it puts in his mind that he has to score goals as well. Certainly, when you’re a midfielder you want to score goals.”
Arsenal will be guaranteed a place in the last 16 of the Champions League as long as it achieves a better result than a 3-0 defeat, but Wenger confirmed he will play a full-strength team in the final group game away at Napoli.
“Yes I will play a full team,” Wenger added. “I have to rotate a little bit until then though. We have three league games just before we go to Naples, so I have to use my squad well without dropping points in the league and go there with a strong team.
“It’s unbelievable [not to have qualified with 12 points] but it’s the reality. It’s the first time I’ve seen that in over 150 Champions League games.
“We have to finish the job. It’s not an easy situation. It’s tricky because you could think ‘just don’t lose big’ but I think it would be a mistake. We have to put in our head to play positively and go there to win. To play not to lose would be a gamble.”