The 23-year-old, who initially struggled to break into Dalglish’s first-team, finished the campaign in impressive style, with three goals in seven games, plus two dominant displays against Chelsea.
Carroll, who moved to Merseyside from Newcastle United in a record £35m deal in January 2011, has three England caps and scored his only goal for the national team in a 1-1 friendly draw with Ghana last March.
“I spoke to Kenny at some length about him because I don’t know him particularly well as a person,” said Hodgson.
“Kenny was absolutely convinced about the player’s ability, his personality and his seriousness as a professional. When I heard that it meant I had no further reservations.”
Carroll will join Liverpool team-mates Glen Johnson, Stewart Downing and England captain Steven Gerrard for the European championship in Poland and Ukraine.
Hodgson, who was named as Fabio Capello’s successor at the start of May, believes the former Magpies striker can offer something “different” to the England side.
“Andy is a different type of player to the players in the squad,” added Hodgson.
“He has that ability to hold the ball up; he has that ability in the air which is very useful and he also has that ability to make the runs in behind defenders and use his strength and his power.”
Goalkeepers: Joe Hart, Robert Green, John Ruddy
Defenders: Leighton Baines, Gary Cahill, Ashley Cole, Glen Johnson, Phil Jones, Joleon Lescott, John Terry
Midfielders: Gareth Barry, Stewart Downing, Steven Gerrard, Frank Lampard, James Milner, Alex Oxlade-Chamberlain, Scott Parker, Theo Walcott, Ashley Young
Forwards: Andy Carroll, Jermain Defoe, Wayne Rooney, Danny Welbeck.
Standby players: Jack Butland, Phil Jagielka, Jordan Henderson, Adam Johnson, Daniel Sturridge.
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