In the 54th minute, Pablo Zabaleta tripped Dejagah in the box but Mazic did not award a penalty to the Iranian football team.
Iran coach Carlos Queiroz was furious with the decision and said that his team should have been awarded a penalty.
"It was a clear penalty. Millions of people saw that. I don't understand it, he had to have seen it was a penalty," Queiroz said.
"He was five meters away, there is no way he couldn't have seen it. I have the right to say this and I only hope I am now not punished for telling the truth because it was a decision that nobody can understand," the Portuguese added.
Mehdi Mohammad Nabi, IFF General Secretary, said that they have sent a complaint to FIFA against Mazic.
"Every 50-50 decision went to Argentina and I think it's not fair. The referee also denied our clear penalty," Nabi said.
Iran will play Bosnia and Herzegovina on Wednesday knowing a win could send them into the last 16.
