The team also placed cornerback Chimdi Chekwa on injured reserve Monday.
Edwards was a fifth-round pick by Tennessee in 2013 before being traded to Dallas last season. He was waived Sunday by the Cowboys. Edwards has played in 11 career games.
Oakland also announced its practice squad with former SMU quarterback Garrett Gilbert joining the team after being cut by Detroit.
The other nine players were previously cut by Oakland: running back George Atkinson III; offensive linemen Mitch Bell and Dan Kistler; defensive linemen Shelby Harris, Leon Orr and Max Valles; defensive backs SaQwan Edwards and Tevin McDonald; and linebacker Josh Shirley.
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