Pittsburgh signed McSorley to its practice squad Monday, Adam Schefter of ESPN reports.
The Bears signed McSorley to the practice squad Tuesday, Brad Biggs of the Chicago Tribune reports.
The Patriots have released McSorley, Andrew Callahan of the Boston Herald reports.
McSorley signed with the Patriots on Thursday, Field Yates of ESPN reports.
McSorley is slated to serve as the Cardinals' backup quarterback Sunday at Atlanta after head coach Kliff Kingsbury said Wednesday that Colt McCoy cleared the concussion protocol and is on track to start this weekend, Jess Root of USA Today reports.
McSorley will start Sunday's game against Tampa Bay, Darren Urban of the Cardinals' official site reports.
McSorley completed seven of 15 passes for 95 yards, no touchdowns and two interceptions in Sunday's 24-15 loss to the Broncos. He added one rush for eight yards.
McSorely (illness) was not listed on the Cardinals' injury report Thursday, Darren Urban of the team's official site reports.
McSorley (illness) is inactive Sunday against the Chargers.
McSorley did not practice Friday due to an illness and is listed as questionable for Sunday's game against the Chargers, Darren Urban of the Cardinals' official site reports.