Polanco, 29, was recently released by the Pittsburgh Pirates. At the time of his release, the outfielder was one of the Pirates' longest-tenured players, having played 823 games over eight major-league seasons.
The left-handed veteran was hitting .208/.283/.354 with 11 home runs and 14 stolen bases in 107 games for the Pirates this season before his release.
Luciano had been a member of the Blue Jays since being claimed in the Rule-5 Draft ahead of the 2019 season. He made 11 appearances at double-A New Hampshire this season but was released from his contract on Aug. 23.