Carragher expressed his respect for Roy Hodgson after his former boss signed a four-year deal to become England manager.
"I'm delighted for him," said Carragher. "There was talk about different candidates but the FA took their time, they've made a decision and it's important we all get behind him and support him, because we all want a good and successful England team.
"Working with him for the short time he was here, I got on great with him and have respect for him.
"I'm pleased for him. It was difficult, what happened here for him at Liverpool.
"It's another chance for him on the real big stage and I'm pleased for him, I hope it all goes well."