Alcantara was suspended 80 games Friday for testing positive for Stanozolol, Jason Beck of MLB.com reports.
Alcantara was outrighted to Triple-A Toledo on Thursday and elected free agency.
Alcantara fired a scoreless ninth inning Sunday in the Tigers' 5-3 loss to the White Sox.
Alcantara was recalled by the Tigers on Tuesday.
Alcantara (finger) was activated from the 10-day injured list and optioned to Triple-A Toledo on Monday.
Alcantara landed on the 10-day injured list Wednesday with a right middle finger contusion.
Alcantara (mouth) will be activated off the 10-day injured list Sunday.
Alcantara is showing better command this season and has been using more off-speed pitches, Evan Woodbery of MLive.com reports.
Alcantara was brought up from Triple-A Toledo prior to Friday's game.
The Tigers optioned Alcantara to Triple-A Toledo on Wednesday.