Byrd, 24, signed on with the Cardinals as an undrafted free agent out of Miami back in 2012. He lasted just a few months in Arizona before the team ultimately waived him.
Since then, Byrd has played for the Cowboys, Browns, Dolphins and most recently for the Falcons.
He, unfortunately, suffered a season-ending shoulder injury in early December that led to him being placed on the injured reserve list with a practice squad designation.
Byrd appeared in one game last season.