Goal.com revealed in May that the Slovakia international could be open to moving to a club currently in the Champions League, following the Reds' failure to qualify for the third consecutive year.
And the 27-year-old has now revealed that contract talks with the Merseyside club have stalled, casting doubt on his future.
Speaking to Slovakian newspaper Dennik Sport, Skrtel said: "I am a player of Liverpool because I have a valid contract here. There exist a number of offers but without the permission of Liverpool nothing can move forward.
"We have been in talks about a new contract but it has not moved forward. At the moment I am a Liverpool player and what happens in future in football you can never foresee.
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"Anything can happen but for now I have a valid contract and what is to come will come."
Despite being linked with a move away, Skrtel praised new Liverpool boss Brendan Rodgers, hailing the relaxed atmosphere amongst the squad which he insists is in stark contrast to the reign of Kenny Dalglish.
He added: "He is absolutely OK. His motto is an open approach towards players and he is very human in the way he tries to communicate with us as much as possible.
"Thanks to him, the atmosphere within the club has changed. It is now more relaxed.
"He told us right on the first training session we had the door open any time and anything we need we should come to him. He is a little bit different from Dalglish in this."
