He was replaced by backup Cotton Turner after an 18-yard pass to L.J. Castile put Houston (9-2, 5-2 Conference USA) ahead 49-14 after its first drive in the third quarter.
It was an easy win for a team trying to get back on track after last week's surprising loss to Central Florida, which left the Cougars in second place in the West division.
Memphis (2-9, 1-6) was led by Curtis Steele, who had 160 yards rushing and two touchdowns.
