The Gunners won the FA Cup semi-final 2-1 to set up a final date with cross-town rivals Chelsea. But, Toure was livid with Pawson and assistant referee Steve Child's handling of the encounter.
Substitute Raheem Sterling had a goal ruled out in the first half as a result of Child's intervention, when it should have stood.
"I think the referees have to stop this," said the big Ivorian, according to the Daily Mail.
"I am very disappointed. It is not the first time, there have been a couple of times.
"I have to talk about referees, people are going to say 'we complain' but when we see the highlights, for me it's very disappointing.
"Maybe on Thursday we are going to have a better referee, or maybe play without a referee - I'd prefer that."
City take on Manchester United on Thursday in a game that will have huge ramifications on who finishes in the top four.
"It is a very big game, an important game. We have to do the job and we will see what can happen," Toure added.
"We hope we are going to have a good referee."