The Arsenal midfielder was criticised after being pictured outside a nightclub smoking, before sparking further controversy by suggesting only English players should represent England.
|6/1||Jack Wilshere is 6/1 with bet365 to score anytime against Montenegro
"It hasn't affected Jack," Hodgson said. "I think he just shrugs it off.
"I think we expect so much from Jack and that can be a slight problem for him.
"When someone comes on to the scene with incredible talent you expect so much from them and every time they fall below those standards alarm bells start ringing.
"But he's put behind him the unfortunate furore over his quotes and it's not affected him one bit on the field.
"I think England will get a lot out of him in these next two games and for a long, long time to come."
England take on Montenegro at Wembley before hosting Poland on Tuesday with only two wins from their final qualification fixtures enough to guarantee their spot at Brazil 2014.