Redknapp recently revealed he was so confident of landing the England role before the appointment of Roy Hodgson that he had already approached Rodgers with a view to the Northern Irishman becoming his No.2.
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"It was a unique conversation as he was confident - as was the nation - that he would get the job. It was a quick conversation and I was aware that he wanted me to do it.
"I would have certainly considered it. The thing about Harry is that he is a wonderful chemist and he knows what he wants from his teams.
"It says everything about him that he would have had another Premier League manager working alongside him.
'There was no, yes or no. The job went to Roy and he has done brilliant.
"I had spoken to Swansea, but after the appointment was made that there was no further thought. A unique chance for British football to show what we can do."
Redknapp was surprisingly overlooked for the England job in favour of Hodgson, who took the team to the quarter-finals of Euro 2012 before leading them to World Cup qualification for Brazil 2014.