The Liverpool manager has dismissed the possibility of a temporary move for the 23-year-old to the Sports Direct Arena, insisting that only straight cash offers will be accepted
It has been widely reported that Rodgers does not see the 23-year-old striker as part of his plans, but the former Swansea City boss claimed that Carroll's situation was no different to any other player.
Loan offers would not be considered, the Northern Irishman insisted, but the club would mull over bids to take the target man away permanently.
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"For me, it's simple. The player is still part of this group and the only way we would think about him going out is the same as any other player.
"If there was an offer to take him on a permanent deal, we'd have to look at it, but that's no different to any player. The thought of him going on loan for one year is ridiculous, really."
The Reds manager revealed that he had spoken to Carroll about his situation and maintained that he is looking forward to the striker returning for the club's pre-season tour of the United States.
"It is that part of the year where there is a game going on with agents and other people," Rodgers explained. "But the reality is he will join us here in Boston next week.
"He is a talented player and we will review what happens from there.
"I've spoken to Andy - I made the time to speak to all the players either verbally or through texts - so the communication is there.
"I specifically spoke to him and was straight with him. I'm looking forward to him coming back and we will take it from there."
Rodgers also revealed his interest in Swansea midfielder Joe Allen, who he helped to emerge as a highly-rated midfield player during his tenure at the Liberty Stadium.
"I have a great relationship with Swansea, but if there is a market for any of the players I would like to be in that market," Rodgers continued.
"He [Allen] is a very talented player, which everyone knows, but there is nothing more at the moment. When players come to a club such as Liverpool, it’s never straightforward.
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Clint Dempsey has been heavily linked with a move to Anfield, with the website of the club's owners, Fenway Sports Group, even erroneously reporting that the American would join up with the Reds for their pre-season tour of the United States.
Rodgers reiterated his interest in the player but said that there was nothing new to report on the situation.
"We made a couple of inquiries to Fulham for him," he said.
"He is a talented player, but there has been nothing more than that, even though I'd heard he was joining the squad today - that was interesting, that's about it on that."