Police and civil defense employees are among the five suspended officials.
23 men remained hospitalized. Three of the 10 were in critical condition with very severe injuries.
The violence that took place at the La Corregidora stadium in the city of Queretaro during the match between Atlas and Queretaro was unacceptable and intolerable, according to a statement from FIFA.
The front-page headline in the Mexican newspaper El Universal on Sunday was "The darkest day for Mexican soccer".
At the club owners meeting Tuesday, Arriola said he would propose banning fans from away matches.
Some police were on duty at the stadium, but it was mostly staffed by private security officers who had their contracts revoked.