Patterson signed a reserve/future contract with the Jaguars on Monday, per the NFL's transaction log.
Patterson was elevated from Cleveland's practice squad Friday and will kick in Saturday's wild-card round game against the Texans.
Patterson was elevated to the Browns' active roster Saturday.
Patterson converted his lone field-goal attempt and four of five extra-point kicks in Thursday's 37-20 win over the Jets in Week 17.
The Browns elevated Patterson from their practice squad ahead of Thursday's game against the Jets.
The Browns signed Patterson to their practice squad Monday.
The Lions waived Patterson on Tuesday.
Patterson converted two of two field-goal attempts and all three PATs during Sunday's win over the Saints.
Patterson missed his only PAT during Thursday's 29-22 loss to the Packers.
Patterson converted three of three PATs during Sunday's 31-26 win over the Bears.