Medich signed as a Free Agent with the Texas Rangers following the season, going 9-8 with a 3.74 ERA his first season with the club. His best season was the strike shortened season in which he went 10-6 with a 3.08 ERA, and tied for the AL lead with four shutouts with Richard Dotson, Ken Forsch, and Steve McCatty. In five seasons with the club, Medich went 50-43 with a 3.95 ERA.
