Balazovic has signed with the Doosan Bears of the KBO, Jee-ho Yoo of the Yonhap News Agency reports.
The Twins reassigned Balazovic to minor-league camp Monday.
Balazovic cleared waivers and was outrighted to Triple-A St. Paul by the Twins on Tuesday, Darren Wolfson of Channel 5 Saint Paul reports.
Balazovic was designated for assignment by the Twins on Wednesday, Dan Hayes of The Athletic reports.
Balazovic will remain in the bullpen as he competes for a job on the big league roster this spring, The Athletic reports. "I think our view with the best way to get Jordan to be the most effective pitcher with where he's at with the pitch mix and otherwise is to have him in that bullpen role," said president of baseball operations Derek Falvey.
Balazovic was optioned to Triple-A St. Paul on Saturday.
The Twins recalled Balazovic from Triple-A St. Paul on Thursday, John Shipley of the St. Paul Pioneer Press reports.
The Twins optioned Balazovic to Triple-A Rochester on Sunday, Betsy Helfand of the St. Paul Pioneer Press reports.
Balazovic allowed four runs on six hits and one walk while striking out one over two innings in Wednesday's 9-5 loss to the Tigers.
Twins manager Rocco Baldelli said Tuesday that Balazovic will be used in a true relief role moving forward, Do-Hyoung Park of MLB.com reports.