Several national newspapers reported on Sunday that the Anfield side had approached Manchester City over a possible swap deal involving Carroll and troubled Argentine Carlos Tevez, only for the Premier League leaders to reject the idea.
A return to Newcastle has also been mooted, but Carroll insists he is loving life at under Kenny Dalglish despite failing to shine since his £35 million move on January deadline day last year.
"I'm just here,” he told reporters. “I've signed a contract here and this is the team I'm playing for.
"I love it here. All the lads are great with me in training and away from the training ground everyone has been great with me as well."
Asked if he had any regrets about moving to Anfield, Carroll replied: "Not at all. The club has been great with me and I'm enjoying it here.
“Winning in midweek [against Manchester City in the League Cup] and getting to the final and then Man U coming here, beating them and getting through, it's a great feeling."
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