Rodgers was signed to the Texans' practice squad, Aaron Wilson of the Houston Chronicle reports.
Rodgers has bounced around the fringes of the NFL since he was a seventh-round draft pick of the Falcons in 2015. He's since been with the Giants, Panthers, Steelers and Chargers.
Rodgers was released by the Panthers on Tuesday, Max Henson of Panthers.com reports.
The Panthers' roster now sits at 86 after Tuesday's round of cuts. Rodgers was one of two offensive tackles released Tuesday as the Panthers also cut Jordan Rigsbee. Carolina added a potential starter at tackle in last week's draft by spending a second-round selection on Western Michigan's Taylor Moton.
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