Nada was sent off for kicking striker Yang Xu in the groin after 36 minutes in their opening Group A match. The incident was the turning point in the game, and without him Kuwait were exposed at the back and lost 2-0.
An angry Tufegdzic said the punishment did not fit the crime.
"Yesterday I saw a letter that said he had been banned for one match, now I have just been informed he has a two-match punishment, and I don't understand why," the Serbian told reporters in his media conference ahead of Wednesday's match against Uzbekistan.
"He made a mistake, but he does not deserve to miss two matches."
Suzuki also said South Korean defender Kwak Tae-hwi, who was sent off in Monday's 2-1 win over Bahrain, would be automatically suspended for one match.
