Greenlee, 20, was arrested early Sunday after police responded to a disturbance call about a loud party and officers saw him toss a beer bottle on a nearby yard, Fresno Police spokesman Lt. Joe Gomez said.
Bulldogs linebacker Brandon Hughes, 21, was also arrested and charged with obstructing a public officer after he refused to leave the area. He too was released from jail a short time later, Gomez said.
Fresno State football coach Tim DeRuyter said the university is aware of the arrests.
"We're gathering details and we'll withhold further comment until the investigative process plays out," DeRuyter said in a statement.
The arrests came before it was announced that quarterback Chason Virgil is out for the season following a broken clavicle suffered in Saturday's loss to Utah.