Cook, a 5-9, 210-pound running back is in his rookie season out of Youngstown State, originally signed with the Browns as an undrafted free agent on April 30. He was waived May 21.
Cook finished second in Youngstown State history with 4,052 career rushing yards, while adding 39 touchdowns on 811 attempts. He totaled more than 1,200 rushing yards and at least 11 rushing scores in each of his three seasons as a starter.
A native of Middleburg Heights, Ohio, he graduated from Midpark High School.
Browns played 3 games in 8 days and won all of them
The latest news and notes as the Browns prepare for Monday Night Football
Joe Thomas, Brian Hartline, Danny Shelton and Austin Davis talk with reporters after Wednesday's practice