Rodgers was released after the former 2021 third-round draft pick fumbled against the Dallas Cowboys on Sunday. It was his fifth fumble of the season -- the most by any non-quarterback in the NFL, according to ESPN Stats & Information research -- with four of those coming on punt returns.
He has averaged 8.3 yards per punt return this season.
Defensive back Desmond King II is the Texans' primary punt returner, averaging 6.9 yards per return on 13 attempts this season.
In the corresponding roster move, the Texans waived receiver Tyron Johnson.