Taylor agreed to a minor-league deal with the Tigers on Friday.
The Cubs released Taylor on Thursday.
Taylor was reassigned to minor-league camp Thursday, Bruce Levine of 670TheScore.com reports.
Taylor signed with the Cubs as a non-roster invitee Wednesday, Jordan Bastian of MLB.com reports.
Taylor agreed to a minor-league contract with the Diamondbacks on April 11, Kegan Lowe of Baseball America reports.
Taylor cleared waivers Thursday and is now a free agent.
The Indians designated Taylor for assignment Thursday.
Taylor was optioned to Triple-A Columbus on Monday.
The Indians optioned Taylor to Triple-A Columbus on Sunday.
Taylor was claimed off waivers by the Indians on Sunday, Christopher Smith of MassLive.com reports.