Parks reverted to the Jets' practice squad Monday, per the NFL's transaction log.
Parks totaled a game-high nine tackles (four solo) in Sunday's 20-17 loss to the Lions.
Parks re-signed with the Jets on Thursday.
Parks was claimed off waivers from the Dolphins on Tuesday, Ethan Greenberg of the Jets' official site reports.
Parks was waived by the Dolphins on Monday.
Parks was signed off the 49ers' practice squad by the Dolphins on Tuesday.
Kansas City signed Parks to a one-year contract Wednesday, Sam McDowell of The Kansas City Star reports.
Parks recorded six tackles, a tackle for loss and a sack during Sunday's 32-27 win over Carolina.
The Broncos claimed Parks off waivers from the Eagles on Wednesday, Aric DiLalla of the team's official site reports.
The Eagles waived Parks on Tuesday, James Palmer of NFL Network reports.