The Arsenal star has seen his name in the press for the wrong reasons after the FA Cup final win over Aston Villa.
The midfielder was caught on camera leading supporters in a chant mocking rivals Tottenham Hotspur.
Though Arsenal decided not to punish the 23-year-old more than warning him about his behaviour, the FA have charged the player.
Hodgson praised the Gunners for addressing the matter swiftly, and emphasised to Wilshere that he didn't want to see that kind of behaviour from one of his more talented national team players.
"It was important that Arsenal took the matter in hand quickly, which they did," Hodgson is quoted by the BBC as telling the press.
"By the time I saw Jack it had virtually all been sorted out. The FA have charged him and he must accept that."
The England boss did go on to say that he felt people Wilshere's age can make mistakes, and that he was more focused on utilising his positive qualities.
"It is not the type of behaviour we encourage or want to see but unfortunately young men sometimes do things they shouldn't do, and regret it," the Three Lions boss added.
"As far as I am concerned, it is his positive qualities I have got to concentrate on. I will leave the FA and Arsenal to try to make certain that he curbs his enthusiasm to do the wrong thing from time to time."
Wilshere will be looking to get as much game times as possible in England's upcoming games against Republic of Ireland and Slovenia after another injury hit season at the Emirates.