Wenger had initially said he would ask England boss Roy Hodgson if the 20-year-old, who has just returned after his lengthy injury lay-off, could "skip" Wednesday's match but the pair have now reached a compromise following Wilshere's red card against Manchester United.
"You know what I think with Jack, that it is early for him. I had Roy Hodgson on the phone, we found a good understanding and a good compromise," said Wenger.
"What helps is that he is not playing over the weekend because he is suspended, of course. He will have a little breather. Roy wants him in the group to connect the game with the players.
"The ideal solution would be yes [he wouldn't be involved]. But it is as it is.
"Jack has played three games now, and of the three games only one has been a full game. He has been out for 17 months.
"It is good to have a little break after three games. What we like of him is he won't play over the weekend, so will recover. I think he needs 10 days of good recovery."
Wenger has also welcomed Arsenal right-back Carl Jenkinson's first international call up for the game.
"I am happy that his potential has been acknowledged by Roy Hodgson, so that is good news," Wenger said.
"Carl is a guy with massive potential and I believe the positive of that is it will improve his belief, and that is very important for him in my opinion."