Cole signed a contract Tuesday with the Tokyo Yakult Swallows of Japan's Nippon Professional Baseball.
Cole (oblique) was reinstated from the 60-day injured list Monday and outrighted to Triple-A Buffalo.
Cole (oblique) has been sent to Triple-A Buffalo to begin a rehab assignment, Mitch Bannon of SI.com reports.
Cole (oblique) has begun throwing bullpen sessions, Arden Zwelling of Sportsnet.ca reports.
Cole (neck) was transferred to the 60-day injured list Saturday, Mitch Bannon of SI.com reports.
Cole (neck) was placed on the 10-day injured list Wednesday.
Cole is dealing with a sore neck and is day-to-day, Arden Zwelling of Sportsnet.ca reports.
Cole allowed one walk but fired a scoreless ninth inning to earn the save Wednesday against the Braves.
Cole's contract was selected by the Blue Jays on Saturday.
Cole signed a minor-league contract with the Blue Jays on Friday, Bob Nightengale of USA Today reports.