Redknapp was widely considered the front-runner to take charge of the Three Lions when Fabio Capello resigned back in February, enjoying significant support among the media and the public at large.
But the Football Association surprised many by appointing West Brom boss Roy Hodgson instead, and Redknapp has revealed he was never approached about the position.
He told the BBC: "I would have taken it, but I was never approached. I love club football. I was relieved I didn't get offered it."
Despite missing out on the England job, Redknapp offered his support for Hodgson, adding: "It's a great opportunity for Roy."
Meanwhile talks of a new contract at Tottenham have been put on hold after the news that Daniel Levy's mother has passed away.
Redknapp remarked: "He has more important things on his mind."