Leonard signed a reserve/future contract with the Texans on Tuesday, Aaron Wilson of the Houston Chronicle reports.
Leonard was selected by the Saints in the fourth round of the 2018 NFL Draft, though he ultimately failed to make the 53-man roster. He spent the rest of the season on Arizona's practice squad.
Leonard was placed on the Cardinals' practice squad injured list Tuesday, according to the NFL's official transaction log.
Leonard was drafted by the Saints in the fourth round of April's draft but failed to make the 53-man roster. The 22-year-old's injury remains undisclosed and he won't count as an active member of Arizona's practice squad.