Redknapp was made the clear favourite for the post after Fabio Capello quit in February but the Football Association appointed West Brom boss Roy Hodgson.
Redknapp, speaking after Spurs' 4-1 Barclays Premier League win at Bolton, said: "I didn't wake up on Monday morning and think, 'What has happened to my life, I'm not the England manager'."
He added: "It has happened. That is how I am. If it would have happened... it saved me making a decision in all honesty. I am very happy at Tottenham.
"I wish Roy Hodgson all the very best, I really do. I am fed up with hearing my name mentioned. I am history with that job.
"It's Roy's job, good luck to him, he deserves it. I just hope he makes a good job of it."
Redknapp dismissed suggestions he might have been offended not to have even received a courtesy call.
He said: "Not really, honestly. I don't feel that at all, it is done. End of story, move on. Get behind the manager, forget me.
"I am not bothered. I am lucky, I have got a great job.
"There are blokes about cleverer than me managing lower-division clubs. I am lucky I am managing a top-five club, one of the best clubs in the country."
Source: PA
Source: PA