He insists his hunger and desire to play for England did not need rekindling.
After his performance against Mexico, Carragher said: "I'd only played at Wembley once before, against Brazil three years ago, so that was nice. It is a massive occasion playing for England and Wembley is a great stadium.
"But I've always been excited about England ever since I started. I captained the Under-21s, I broke the record for the most caps for the Under-21s (now passed by James Milner).
"It was just that towards the end of my time, the last couple of games, I felt I wanted to concentrate more on Liverpool.
"I'd come off the back of a couple of Champions League final appearances, we'd won it once, and I just felt I deserved to give a little bit more of a go.
"That was no criticism of the England manager at the time or the players. Maybe the players who played ahead of me might have felt the same if I had played."