Drummond said the school was put on lockdown to “make sure the kids were OK.”
Roseann Canfora, spokeswoman for the Cleveland Metropolitan School District, said no students at Michael R. White Elementary were involved in the fight.
A hammer and a stick were taken as evidence, although neither was believed to be used in the fight.
Eight people were arrested on suspicion of aggravated rioting, police said.
Police say the incident will be further investigated.