For his career, Cozart is a .254 batter with 82 homers and 280 RBIs in 743 games at the major-league level.
He hit .280 with 14 homers and 49 RBIs for the Dayton Dragons in 2008.
Earlier this week, Reds GM Dick Williams said the team is committed to Jose Peraza getting an opportunity to be the shortstop in Cincinnati in 2018.
Peraza began last season as the team’s starting second baseman but eventually lost that job to Scooter Gennett.
The rest of the every-day eight from 2017 are scheduled to be back, though there have been reports the Reds will at least listen to offers for outfielders Billy Hamilton, Adam Duvall and Scott Schebler as they look to make room for Jesse Winker to play in the big leagues.