Hall was claimed off waivers by the Cowboys on Sunday.
The Chargers waived Hall (undisclosed) with an injury designation Wednesday, Aaron Wilson of KPRC 2 Houston reports.
The Chargers placed Hall (hamstring) on injured reserve Monday, per the team's official site.
Hall (hamstring) has been ruled out for Monday night's game against the Colts.
Coach Brandon Staley said Monday that Hall (hamstring) is week-to-week ahead of Monday's game at Indianapolis, Daniel Popper of The Athletic reports.
The Chargers activated Hall (illness) from the reserve/COVID-19 list Wednesday, Gilbert Manzano of The Orange County Register reports.
Chargers head coach Brandon Staley said Hall won't be available for Sunday's game against the Texans after landing on the reserve/COVID-19 list Monday, Daniel Popper of The Athletic reports.
Los Angeles claimed Hall off waivers Thursday.
Hall signed with the Saints on Tuesday, Amie Just of Nola.com reports.