Byrd signed with Houston's practice squad Wednesday.
Byrd didn't record a catch on two targets during Sunday's 31-28 loss to the Vikings.
The Falcons promoted Byrd to their active roster Saturday, D. Orlando Ledbetter of The Atlanta Journal-Constitution reports.
The Falcons signed Byrd to their practice squad Thursday, Tori McElhaney of the team's official site reports.
Byrd (hamstring) was released from injured reserve by the Panthers with an injury settlement Friday, Aaron Wilson of KPRC 2 Houston reports.
Byrd (hamstring) was placed on injured reserve Wednesday.
Byrd suffered a hamstring injury during practice Tuesday, Steve Reed of the Associated Press reports.
Byrd signed with the Panthers on Friday.
Byrd caught 13 of 23 targets for 268 yards and two touchdowns across 14 appearances during the 2022 campaign.
Byrd caught one of two targets for 12 yards during Sunday's 20-19 victory over the Cardinals.