The remarkable rant came during Thursday's post-match press conference after the French side reached the Europa League play-off round with a 5-2 aggregate win over Mariupol.
The Uruguayan had already seen star man Malcom leave the club for Barcelona this summer and was left seething after Gaetan Laborde was sold to Ligue 1 rivals Montpellier without his permission.
"I'm not happy, it's my worst day at this club," he raged.
"What the club did today with Gaetan Laborde is a disgrace, I asked the club not to let him leave until we bring in a player. But they didn't recruit and they have allowed Laborde to leave."
16 August 2018
"When we arrived at the hotel for today's match, Laborde wasn't there. We called him and he was in Montpellier. Nobody told me," Poyet added.
"I will make a decision. I don't know if this will be the end for me [at Bordeaux]."
After his threat to quit, the decision now appears to have been taken out of the former Sundeland manager's hands after the Ligue 1 side suspended him for a week.
Talks will be held in a week's time to determine whether there is a future for Poyet at the club or not.