Sgt. Jennifer Ciaccia (CHAWCH') said Friday that police hadn't received a complaint from Mason Rudolph.
And a city spokeswoman says the prosecutor can't comment because Rudolph hasn't filed a complaint.
Rudolph's agent, Tim Younger, tells media outlets that no legal options "have been removed from the table."
Rudolph called Garrett's actions "pretty cowardly."
Garrett pulled off Rudolph's helmet during a melee at the end of Thursday night's game in Cleveland and used it to strike him on the head.
Garrett is the NFL's No. 1 overall pick in 2017 and was ejected from the game. The NFL on Friday suspended Garrett indefinitely.
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