The Frenchman revealed on Friday that he will push for an extension to Wilshere's contract in the new year, with his current agreement set to expire in 2018.
Wilshere, 24, is currently on loan at Bournemouth after moving to the south coast in the summer in a bid to play more football and return to fitness following two years spent largely in the treatment room.
Since then he has flourished with the Cherries and earned a recall into the England squad for the recent double-header against Scotland and Spain, although he is ineligible for Bournemouth's clash against his parent club at the Emirates Stadium on Sunday.
Despite being away from the club, Wenger still intends to offer Wilshere a new deal because he reckons the player will be back for next season, rather than to protect Arsenal's investment in one of their most successful academy graduates.
Asked if he would be offering the extension because he believes in Wilshere's ability to establish himself with the Gunners, Wenger replied: "Yes, not to protect our value.
"I let him go this season because we bought Granit Xhaka, we have Mohamed Elneny, Aaron Ramsey, and I thought if he doesn't play regularly and wasn't fit enough to be in the position to start games...so I let him go.
"After, we see how he goes at the end of the season. If Jack comes back to his right level he will play for us.
"My feeling is I want him back. He always said he is an Arsenal man. If you only think about yourself then you go where you like to be. The word 'loyalty' isn't even the right word. He always said he was an Arsenal man."