Redknapp described the Italy and Uruguay teams who had knocked England out of the World Cup as "average" and claimed England had more talent at their disposal than any other team in Group D. England will fly home after playing Costa Rica in their final group game on Tuesday.
"I still think we go to tournaments, whether it be under-17s, under-19s, under-21s, there are too many pull-outs, it seems to be everyone has got an excuse, and I can tell you when I was at Tottenham, when full internationals came around, there were two or three players who did not want to play for England," he told BBC Radio Five Live's Sportsweek programme.
"They would come to me 10 days before the game and say, 'Gaffer, get me out of that game, I don't want to play in that game'. That was how it was. I'd say, 'you're playing for your country, you should want to play'.
"(They would say) 'Nah, my girlfriend is having a baby in four weeks, I don't want to play' and that is the truth, so it makes you wonder.
"And I think it's only going to get worse. You see the stick the England players get and they come home, they're earning fantastic money at their clubs, they're all playing in the Champions League. They think, 'Do we need the aggro?'"
For the big stories and the banter follow us on Twitter: @tribalfootball