Rooney handed in a transfer request last week and was left out of the squad that beat Swansea in Sir Alex Ferguson's final game in charge at Old Trafford on Sunday.
He was booed by some supporters during United's Premier League trophy parade but Hodgson is not worried about the 27-year-old's state of mind and said there was "no doubt" about his commitment to England.
"His situation at Manchester United is between him and the club," Hodgson told a press conference on Thursday.
"It doesn't really impact on me with England as long as he is fit and playing football.
"There is no doubt that he's doing that and there's no doubt in my mind about his commitment to England."
Hodgson denied suggestions Rooney might lack match-sharpness after falling out of favour with his club.
"I have to debate one of your points - that he's had limited time," Hodgson added.
"He didn't play in the last game but in the games he's started, he might not have finished the 90 minutes, but he's played pretty regularly.
"When you tot up his games he'll be nudging 50 rather than 38. I'm not concerned about his playing time."