"That's part of the game and I am sure with the experience of this tournament, hopefully the lads will get to the next one and be a lot better for it.
"I don't think there are many managers out there with the record he has got."
The Liverpool vice-captain returned to the international set-up under Capello for a friendly against Mexico at Wembley in May.
Carragher replaced the injured Ledley King during England's opening World Cup group match against the United States and featured in the 0-0 draw with Algeria.
A booking picked up in that match ruled the Reds defender out of the final group match against Slovenia and the Algeria game proved to be his last in the campaign.
Now that Carragher has returned to Anfield, he has said that his main aim is to turn his attention to club matters under new manager Roy Hodgson.
"This was a one-off thing," Carragher added. "The manager said he had a few injuries and I came into the squad and helped.
"I was delighted with the opportunity to play in a World Cup and work with Capello but I have always said the most important thing for me is Liverpool Football Club.
"We have a new boss now in Roy Hodgson and I want to do everything I can to help him and help the club get back up where we belong."
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