Wilshere returned to action for the Gunners in Saturday's 1-0 win over QPR at Emirates Stadium after 14 months on the sidelines. The midfielder's injury setbacks forced him out the whole of last season because of niggling ankle and knee problems, which dashed any hopes of featuring for England at Euro 2012 or representing Team GB at the London Olympics.
There will now be calls for Wilshere to be fast-tracked back into Roy Hodgson's squad ahead of the November 14 friendly in Sweden, but Wenger said: "It is a friendly. Jack should skip that. What is important now is that he gets back to full fitness for this team. Once he is back he will play for England again, but if it is a friendly...."
Wenger added: "I will have a little word [with Hodgson], of course. Anyway, Roy will call me about him.
"I am an understanding manager. If it is a friendly, a full game would be too much at the moment. I will speak about it with Roy, but what is important now is that he gets back to his level."
Wilshere says he will be able to deal with the nation's expectations when he once again dons the national shirt.
"Football is like that, especially with England. You become a better player when you are injured, you become a world beater when you are injured," he said. "When you come back, there is an expectation, but I can deal with it.
"That is part and parcel of football and there are older players here who can keep my feet on the ground and help me.
"Just for now, I am happy to be back. I am happy to be out there and healthy again. I was just running round smiling - that feeling was amazing."
Arsenal captain Thomas Vermaelen is in no doubt of the lift Wilshere's return to action will give the squad.
"Jack can be one of the best midfielders in the world because what he did in his first year was great," he said.
Belgian defender Vermaelen can understand the hype around the promising England youngster.
"Everyone knows how good Jack can be and everyone wants him back for the England team as well," he said. "It is going to be a long way to get up to the biggest level."
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- Roy Hodgson