Before their Europa League qualifying win against FC Marioupoul, Poyet was furious Gaetan Laborde had been sold to Montpellier.
He claimed he only knew when his squad assembled on the morning of the game and would threaten to quit post match.
The ex-Chelsea and Tottenham midfielder said: “No I am not happy, It is one of my worst days at the club. What the club have done with Gaetan Laborde is a disgrace.
"I think we have to stop here. I told the club not to let him leave until we had bought someone else. They have not recruited and they let Laborde go. I arrived at 11.35am. Laborde was not here. He was in Montpellier. Nobody told me anything.
"I want to talk to my agent and I am going to make a decision. I don't know how this is going to finish. Do I have the desire to continue? No. They have done that against me, against the players and the supporters.
"I need an explanation from the club: from the owner or the president. They are going to explain to me tomorrow (Friday) and we will see if I carry on or not. Am I going to resign? I don't know."