The former Tottenham boss has suggested that player didn't want to play for their national side.
His comments to BBC Radio 5 Live were brought up at an England press conference with manager Roy Hodgson and captain Steven Gerrard, who both urged the Queens Park Rangers manager to name the individuals.
A clearly animated Gerrard said: "If Harry is making a comment like that, he should name them and embarrass them. Hand on heart, no one in this group wants to go home. If that's the case, it's disgusting. For me, if a player doesn't want to be here, he doesn't deserve to be at a World Cup."
Redknapp has since followed up those claims, telling the Daily Mail: "I understand Steven’s concern but I don’t want to get into naming names because it wouldn’t be fair to the players. Every Premier League manager past and present knows what I’m talking about.
"Probably even Roy Hodgson. But sadly this attitude is not unusual these days. You’ve only got to look at how many players pull out of an international game on Tuesday and Wednesday then are running about for their clubs the next Saturday to see that this is a very real issue."
Redknapp's comments seem to have opened a can of worms, especially in light of England's poor display in Brazil, which has seen them eliminated from the competition before their final group game against Costa Rica tomorrow evening, after defeats to Italy and Uruguay in their opening two games.
The thought of players wanting to pull out of internationals clearly riled the England captain - who is currently considering his own future as captain of the national side.
But this row doesn't seem to have any signs of going away, and will probably escalate even further if England don't get a positive result in their final World Cup match against Costa Rica in Belo Horizonte tomorrow.
There is the inevitable question over whether those who are selected to play for England actually care enough to play for their country, and by naming the individuals in question - if they still play or declare themselves available for international football - would at least allow certain players to be omitted from the squad in the future.
An interesting point would be if Roy Hodgson himself knew of any player that wanted to pull out from international games, given that Redknapp said the current England boss may have come across it himself.