“I have great memories of Euro 2012 and would love to be there again. My love for my country is not going to go away.
Hodgson names his squad for this month’s friendlies against Germany and Holland on Thursday.
But with Harry Kane, Jamie Vardy, Daniel Sturridge and Daniel Welbeck all in the mix, Carroll knows he has a battle on his hands.
He added: “The talent in England is massive, there are so many great players.
“But having so many players to choose from means you have to leave a lot more out. It’s a tough job for him, but he knows how to deal with it.
“I have three things to aim for with the club pushing for top four, the FA Cup final and making the England squad. So I don’t want to be getting injured now, it would be the worst thing.”