Wilshere is out for six weeks with an ankle injury suffered in England action this week.
When asked whether Wilshere was too brave for his own good in staying on the pitch on Wednesday, Wenger acknowledged that it is in his nature.
"What people admire in Jack is that he is a technical player but also a committed player. You don't want to take that away from him," he said.
"When he was younger, I told him not to go into stupid challenges. I think he has improved a lot on that front. He went in the other night. Did he need to go in there? You always point to your instinct in that situation.
"We are always sitting here saying that you want full commitment from the players. When you get it, you don't want to say he shouldn't commit. I am always reluctant to do that.
"I say always to players that they have to respect the guy who pays £10 to sit on the seats up there. Even if it is a friendly, the fans have to have your commitment.
"You don't want to say that you shouldn't commit. It is a friendly, but even in a friendly you have to have the same respect for the game and the people who buy the tickets."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball