The Jets waived Atkinson on Friday, Brian Costello of the New York Post reports.
Atkinson led New York in both rushing and receiving yardage during Thursday's 15-13 preseason loss to the Redskins. He gained seven yards on 31 carries and caught his lone target for 30 yards.
Atkinson rushed nine times for 12 yards and added a one-yard reception on his lone target during a 17-0 win over the Falcons in Friday's preseason opener.
Atkinson signed a contract with the Jets on Sunday.
Atkinson was waived by the Chiefs on Wednesday, per the league's official transaction log.
Atkinson was claimed off waivers by the Raiders on Saturday, Michael Gehlken of the Las Vegas Review-Journal reports.
Atkinson was Cleveland.com by the Browns on Friday, Cleveland.com reports.
Atkinson re-signed with the Browns on Monday.
Atkinson has replaced Duke Johnson as Cleveland's kick returner, according to the team's official website.
Atkinson may be tasked with returning kicks, ESPN.com reports.