Scott signed a two-year, $4 million deal with the Chargers on Friday, Adam Schefter of ESPN reports.
Scott was waived by the Packers on Tuesday.
Scott (illness) will play in Monday's game against the Falcons.
Scott (illness) is questionable for Monday's game versus the Falcons, Wes Hodkiewicz of the Packers' official site reports.
Scott played in all 16 regular-season games the Packers played and averaged 44.0 yards and 39.9 net yards on 77 punts.
Scott has been added to the Packers' injury report as questionable ahead of Sunday's showdown against the 49ers due to an illness.
Scott averaged 47.6 yards on nine punts in Thursday's victory over the Bears.
The Packers selected Scott in the fifth round of the 2018 NFL Draft, 172nd overall.