manager was in the frame to replace both Sven Goran Eriksson and Steve McClaren, but missed out on both occasions.
The FA appointed highly-respected Italian Fabio Capello following McClaren's failure to lead England to Euro 2008 and are hopeful the former AC Milan, Real Madrid and Roma boss will extend his contract beyond the 2010 World Cup.
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But when Capello does step down, Redknapp would love to be considered for the job again.
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'For sure I would love to be England manager one day,' he said in a new book, Down Memory Lane.
'It depends if I'm doing a good enough job at Spurs and I plan to do a good job here.
'There is no doubt Capello will move on, probably sooner rather than later. I don't see him here forever. But I am 61 and once my job is done here I would have time left to be England manager.
'If that opportunity should ever arrive - fantastic. It would mean I had taken this club forward.'
But whether or not Redknapp is on the shortlist, the former Portsmouth boss would love to seen an Englishman in charge of the national team.'We should have an English England manager. We produce so many great players and coaches, surely there is somebody out there good enough to do the job from our country? It's crazy to think that at the moment there isn't. It doesn't make sense to me.'