The Uruguay international is being heavily linked with a move to the likes of Liverpool in particular, as well as Manchester United and Tottenham, and the player himself has made it quite clear he is keen to move on.
He admitted that money was not really an issue but said he would rather win trophies than sign for a lucrative fee.
"If I move I want to join a real football club where they play good, attacking football," Suarez is quoted as saying in The Sunday Mirror.
"I will decline any offer from clubs like Shakhtar Donetsk or [Zenit] Saint Petersburg where they offer you sacks full of money.
"I've an obsession to win trophies. I am a South American with the mentality to win."