Uruguay striker told French television channel Canal + on Sunday that the wealthy French club had a reputation for ambitious and that he would like to play with the national team captain Diego Lugano his current PSG.
25 years old had a difficult season so far after a promising start, has received an eight-game ban racially abusing Patrice Evra.
He has two goals from the Reds in November with a record Thursday scored worst in the Premier League.
However, when reporters asked about the possibility of transfer, capture Dalglish: "Anything you tell me, I'm fired."
He further explained that the context of reviews of Suarez is that he has said in support of his countrymen, adding rhetorically: "How often Lugano play this year?
"I think you'll find [Napoli striker Edinson Cavani was also mentioned and I think you will find it is a television program about Lugano.