Kingham (oblique) signed a contract with the SK Wyverns of the Korean Baseball Organization on Wednesday, Rob Biertempfel of The Athletic reports.
The Blue Jays released Kingham (oblique) on Monday.
The Blue Jays designated Kingham (oblique) for assignment Sunday.
Kingham was placed on the 10-day injured list Saturday with a left oblique strain.
Kingham (4-2) picked up the win in Friday's 5-2 victory over the Orioles, giving up two hits and a walk over three scoreless innings of relief. He struck out two.
Kingham had his contract selected from Triple-A Buffalo by the Blue Jays on Friday.
Kingham has cleared waivers and been assigned to Triple-A Buffalo, John Lott of The Athletic reports.
The Blue Jays designated Kingham for assignment Thursday.
Kingham (2-1) picked up the win in Thursday's victory over the Angels, allowing one hit in a scoreless 10th inning.
Kingham is expected to join the Blue Jays' 25-man roster Friday, Zachary Silver of MLB.com reports.