Erlin was outrighted to Triple-A Oklahoma City on Saturday.
The Dodgers designated Erlin for assignment Wednesday.
Erlin's contract was selected by the Dodgers to serve as the 27th man in Saturday's doubleheader against the Cubs, Juan Toribio of MLB.com reports.
Erlin signed last week with the Dodgers on a minor-league contract, Chris Hilburn-Trenkle of Baseball America reports.
Erlin has agreed to a one-year contract with the Nippon Ham Fighters of Japan's Pacific League, Ken Rosenthal of The Athletic reports.
Erlin was released by the Braves on Monday.
Erlin was designated for assignment by Atlanta on Saturday.
Erlin will start Thursday's game against the Nationals, 680 The Fan Atlanta reports.
Erlin could return to the rotation Thursday in Washington, Mark Bowman of MLB.com reports.
Erlin was used in long relief in Monday's 5-4 loss to the Marlins, covering three innings and giving up two runs on five hits while striking out one.