Edwards was released by the Bills on Thursday, Sal Capaccio of WGR550 reports.
Edwards' release leaves Corey Bojorquez as the lone punter on the Bills roster. The fifth-year pro will now look for another team to join ahead of Week 1.
The Bills signed Edwards to a contract Wednesday, Marcel Louis-Jacques of ESPN.com reports.
Edwards' spot on the offseason roster comes following Buffalo's decision to cut fellow punter Kaare Vedvik.