A native of Richmond, TX, the righthander was selected by the Astros in the third round of the 2012 draft out of Arizona State. Rodgers had success in the minor leagues but had trouble latching on in the majors. In eight big league games, all with Houston, Rodgers posted an 0-1 record with a 15.53 ERA.

In 2019, he was released and signed with Baltimore for the 2020 season.