Romero signed a contract Monday with the SSG Landers of the Korea Baseball Organization.
Romero was sent to minor-league camp by the Dodgers on Sunday, Eric Stephen of SBNation.com reports.
Romero signed a one-year, $440,000 contract to play for the Chunichi Dragons, the Japan Times reports.
Romero was designated for assignment by the Royals on Saturday.
Romero was claimed off waivers by the Royals on Thursday.
Romero (shoulder) was reinstated from the 10-day disabled list and designated for assignment, Rob Biertempfel of The Athletic reports.
Romero (shoulder) moved his rehab assignment to Triple-A Indianapolis on Tuesday.
Romero (shoulder) gave up one run on three hits and retired two hitters in his rehab outing Tuesday for High-A Bradenton.
Romero (shoulder) is throwing off a slope at the Pirates' spring training facility, Bill Brink of the Pittsburgh Post-Gazette reports.
Romero was placed on the disabled list due to a left shoulder impingement Sunday, Rob Biertempfel of The Athletic Pittsburgh reports.