The midfielder and defender Gary Doherty were both sent off in controversial circumstances by Mr Elleray in Monday’s draw at Goodison Park.
Boss Glenn Hoddle has already confirmed that the club will appeal on both decisions.
However, if they stand, a straight red card means a three-match ban and the pair will be suspended for Southampton, Chelsea and Sunderland next month.
Gus has been looking forward to the clash with his former club since the fixtures were announced in June and admits he cannot even think about not being there.
He said: “To miss the Chelsea match would be really disappointing. I have to be positive and wait for the referee and hope he changes to a yellow card because I think it was enough for me to miss 30 minutes tonight.
“This is the first time I’ve had a red card in England so that shows I am not a dirty player.
“Everyone can make a mistake. I made many, many mistakes during the game.
“I know it probably looked like it was a spectacular tackle, but it wasn’t.
“I accept the mistake by the referee. I have nothing against him. I am just asking him please, look at the video.
“I think the fact I missed the last 30 minutes was enough. I cannot miss three games for something like that.
“As for missing Chelsea, that would be unbelievable. Don’t even talk about it. I don’t want to even think about it.”
Gus was sent off for what was at worst a clumsy challenge on Steve Watson.
“I made the wrong decision,” he said as he recalled events. “At first I wanted to go in but then I turned and put my foot there.
“I was quite embarrassed as well and shocked. I thought ‘that is not possible’. I wanted to say ‘look at the card, it isn’t yellow’.
“When I saw the referee coming I was saying sorry and expected a yellow card.
“When I saw the red I was in shock. Normally, if you know me, you know I will react. But I didn’t because I was so shocked.
“I was in the dressing room thinking ‘please, keep the result’ otherwise I would have felt even worse.
“I said sorry to everyone but they said don’t worry, it was never a red card.
“But I have to say the attitude of the team, especially after getting two men sent off, was absolutely magnificent.”
By Paul Miles at Goodison Park
Gus Poyet has pleaded with referee David Elleray to reduce his red card at Everton to a yellow — otherwise he faces the heartbreak of missing a return match with his former club Chelsea.