Krol opted out of his minor-league deal with the Padres and is headed overseas to continue his career, Jeff Sanders of The San Diego Union-Tribune reports.
Krol signed with the Padres as a non-roster invitee Friday.
Krol elected free agency Friday after refusing an outright assignment to the minors.
Krol's contract was selected from Triple-A Toledo on Saturday.
The Tigers outrighted Krol to Triple-A Toledo on Monday.
Krol was designated for assignment by the Tigers on Friday, Evan Petzold of the Detroit Free Press reports.
Krol tossed a scoreless inning in Sunday's loss to Cleveland and has now gone eight straight appearances without allowing a run.
The Tigers outrighted Krol to Triple-A Toledo on Thursday after he cleared waivers.
The Tigers designated Krol for assignment Tuesday, Evan Woodbery of MLive.com reports.
Krol's contract was selected from Triple-A Toledo prior to Wednesday's game against Texas.