Reyes, who began the season as the cleanup hitter for the Guardians, was designated for assignment by the team on Saturday. He had been optioned to Triple-A Columbus earlier last week after batting .213 with nine home runs and 104 strikeouts in 263 at-bats.
Reyes, 27, belted 37 homers in 2019 -- splitting the season between Cleveland and the San Diego Padres -- and had 30 homers and a career-high 85 RBIs in 2021.
He is earning $4.55 million on a one-year contract this season and is arbitration-eligible the next two seasons.
The Associated Press contributed to this report.