But the Frenchman admits he would have preferred if the midfielder was not involved at all.
England boss Roy Hodgson has wasted no time in bringing Wilshere back into the senior squad, despite the 20-year-old only just returning to action with the Gunners after more than a year on the sidelines.
Wilshere has experienced niggling injury problems which stem back to an ankle problem initially suffered when winning his fifth cap against Switzerland at Wembley in June 2011.
He was sent off at Manchester United last week, meaning he must serve a suspension for this weekend's Barclays Premier League match with Fulham.
While Wenger would rather the midfielder have been completely rested from next week's fixture in Stockholm, the Arsenal manager revealed he had been given assurances by Hodgson over the player's fitness management.
"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, who was at Great Ormond Street Hospital on Thursday afternoon along with Wilshere to help open the Arsenal Lung Function Unit.
"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."
Wenger continued: "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."
Arsenal defender Carl Jenkinson will be drafted into the England squad, which also includes forward Theo Walcott, providing FIFA clearance is received on time as the former had previously played at youth level for Finland.
The 20-year-old, signed from Charlton in July 2011, also visited the children's hospital on Thursday and Wenger believes the international recognition is a reward for his consistent performances, standing in for injured right-back Bacary Sagna.
"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."
England's friendly will help mark the official opening of Stockholm's new state-of-the-art Friends Arena.
Wenger will see most of his squad away during next week in what the Arsenal manager sees as somewhat unnecessary fixtures.
He said: "The friendlies in November, you don't know how they can prepare you for a game in February.
"Basically there are a lot of politics behind these games as well because when you see some teams travelling during that period, you think it is more to pay back some corporation rather than preparing a team for the next official game."
Wenger added: "I believe the friendly games are there as well to help some federations to raise some money by playing against big teams.
"If they use the money well to develop football in their country, it is all right.
"The problem is in the modern game not to have too much conflict with the interest of the club - for example when we play Saturday morning at 12:45 against Tottenham and [Spain midfielder Santi] Cazorla plays in Panama on Wednesday night, you cannot say there is no conflict of interest between the two."