The 115-time Three Lions cap has refused to ever retire from potential service for his country despite now being 37 and having not featured since 2009 under Fabio Capello.
Speculation has suggested Beckham's return to European football with PSG on a five-month contract could put him back in England contention after five years at LA Galaxy.
But ahead of Wednesday's friendly against Brazil, Hodgson said in the Sunday People: "I am pleased for him going to PSG. But I think he is going there to continue his career in the same way he did at LA, not to revive an England career.
"He has been very supportive in texts and conversations but for four years he has been more than prepared to play his football and not think too much about England.
"If he pulls me aside and says, 'I am going to play well in France so keep me in mind'. I will say, 'fine, David, I would love to do that'. But I am not expecting that to happen.
"I think he will be a part of English football's future but I do not think he is going to Paris to revive his international career."