Vorm reportedly told Dutch magazine Voetbal International that it would be "special" to again link-up with Rodgers, the man who brought him to the Liberty Stadium from FC Utrecht in the summer of 2011.
The 29-year-old Dutch international, whose contract in south Wales runs until 2016, has been linked with a move to Anfield, as well as Arsenal and Barcelona, but he claimed his comments on Rodgers had been "lost in translation".
He told the club's official website: "The comments that came out of the interview from the Dutch press have been lost in translation.
"They asked me about Brendan, and I said I enjoyed working under him. Of course I did, he was the man that brought me here and we had a successful season.
"But I did not say I wanted to go to Liverpool or anywhere else - I am very happy here at Swansea. Not once have I told my agent or the chairman Huw Jenkins that I want to leave here."