The Uruguay international has hinted that he could move to another league following constant negative press in England, with Real Madrid understood to be interested in the striker
On Wednesday, Goal exclusively revealed the Uruguay international has refused to commit his future to Brendan Rodgers' side with the 26-year-old unhappy with his portrayal by the English media.
Liverpool are ready to listen to offers for the Suarez, who is keen to play Champions League football, despite the club's public stance that the forward is not for sale.
Suarez insists the English media have created an environment he does not wish to live in and is open to moving elsewhere.
"I have a daughter and a family and I want to take them out of the current atmosphere," he told reporters. "I have feelings and I would like to go to another league.
"They [the media] treated me badly and it would be understandable if one day I leave the club.
"My reason for leaving is not the money. If it were the money I would have left already. My main reason is my family and my image. I don’t feel comfortable here any more. So I think it’s understandable that I leave.
The striker was named Liverpool Fans' Player of the Year after scoring 30 goals in all competitions, but he feels he will never be truly appreciated in the Premier League due to the way he has been "persecuted" by the English media.
He added: "In England, I was never going to win any prize because of how they treated me.
"Firstly, being persecuted from the paparazzi all the time. I couldn’t go to my garden or the supermarket. I couldn’t do anything. I know it is normal being followed by the press, but it was too much.
"All the silly things they said about me, all the pictures, all the taunts. That happened every day and nobody [in the press] supported me.
"They talked about me being the named as the best player in England, but I knew that wasn’t going to happen. I knew it because of the way the treated me. And the straw that breaks the camel's back was my mistake.
"I accept my fault, but they [the English press] went too far."
Although the Uruguayan is eager to leave Liverpool, and English football, he says no deal has yet been agreed with another club.
"I don’t have any offer yet. I don’t know when I will leave or even if I will finally leave or I will stay. The club knows what I think and what I want.
"I don’t know what will happen but I have a contract. If I stay, I will do my best here. But I don’t think that will happen because of all the bullying from the press against me."