It was revealed last week that he did not trust the FA to "show me a good manager if their lives depended on it".
But Redknapp has denied any ill feeling, suggesting instead Hodgson was "better qualified", and congratulated the 66-year-old after he steered England to next summer's World Cup finals with a 2-0 win over Poland on Tuesday night.
"They made a good choice. Roy's an excellent manager and nobody disputes that," he told BBC Radio 5 Live. "Looking at it he was better equipped and better qualified, maybe at international level, than I was.
"I don't want to dispute that. He's a very well-qualified guy.
"I haven't got a problem with Roy. I'm delighted he's doing well and no one is disputing the choice of Roy as manager. I really am not."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball