The Black Cats boss was aggrieved at the decision to dismiss the defender as his side slipped to defeat but Mark Hughes labelled the challenge as 'reckless'
The 46-year-old saw his defender controversially dismissed for a challenge on Charlie Adam in the 36th minute in what was Sunderland's third red card in four league games and their fourth this season.
But Poyet was angered by the decision and is now seeking an apology from referee Kevin Friend after Mike Riley apologised to Steve Clarke prior to the international break following a penalty he awarded to Chelsea, but hinted that his nationality might hinder the likelihood of any such occurrence.
"Unfortunately we’re talking about red cards again. I think we need to change that again. I would like the referee association to apologise to me now this time [as] they did it last week. I think it’s fair.
"They called a British manager and I think it’s time to call a foreign manager and we make it equal: 1-1. And then the referee to say no red card and I don’t need to appeal."
Mark Hughes, despite admitting the decision was a big talking point after the game, was pleased with his side's performance at home as he registered the Potters' first win in nine league attempts.
"I’m sure Gus [Poyet] is a little bit aggrieved about it but my interpretation of it was that maybe Wes [Brown] was a little bit out of control and a little bit reckless," he admitted.
"At the time I thought it was a poor challenge, whether or not it merited a sending off that’s obviously a debate after the game which is a shame as I think it takes the shine off our performance.
"I thought we were in control of the game and had enough to take the game to Sunderland anyway. You could argue that in the second half because they had nothing to lose they through everybody at it and actually made a real game of it and that's credit to Gus and his team."