The Arsenal midfielder was criticised after being pictured outside a nightclub smoking, before sparking further controversy by suggesting only English players should represent England.
"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
.