Katherine Peralta of the Charlotte Observer reported the news.
McGill, 24, was claimed by the Browns less than 24 hours after the arrest. He spent the preseason with the Indianapolis Colts before being released as part of 53-man cuts.
“We are aware of the citation and have spoken to TY directly. Those conversations will remain internal,” a Browns spokesman said in an email to the Observer.
According to the police report, an alcohol enforcement agent saw McGill in possession of marijuana outside a hotel in Charlotte. McGill initially denied being in possession of marijuana but later cooperated with the officer. He was not arrested.
McGill, a former standout at N.C. State, recorded six tackles and two sacks with the Colts last season as a reserve.