"Subject suffered a medical event ... and needed to be restrained for his safety," the officers wrote in their use-of-force reports, according to documents obtained by NJ.com.
Saunders was involved in a one-car accident on Aug. 15, and was hospitalized for two days afterward, but returned to full practice Monday.
The rookie fourth-round draft pick out of Oklahoma, in addition to playing wide receiver, is also currently listed as the Jets' No. 1 punt returner on the team's depth chart.
Saunders had one catch for 1 yard, and two punt returns for 11 yards, in the preseason opener against the Indianapolis Colts, but missed the following two games.
He is expected to play extensively in the Jets' final preseason game, Thursday night in Philadelphia against the Eagles.