Slayton was claimed off waivers by the Packers on Tuesday,Aaron Wilson of ProFootballNetwork.com reports.
Slayton was waived by the 49ers on Monday, David Lombardi of The Athletic reports.
Slayton signed a reserve/future contract with the Falcons on Monday, D. Orlando Ledbetter of The Atlanta Journal-Constitution reports.
Slayton has been called up to the Falcons' active roster in preparation for the team's Week 6 matchup against Minnesota, Jason Butt of The Atlanta Journal-Constitution reports.
Slayton has been promoted to the Giants' 53-man roster ahead of Sunday's season finale against the Eagles.
Slayton was waived by the Giants on Saturday, Dan Duggan of The Athletic reports.
The Giants selected Slayton in the seventh round of the 2019 NFL Draft, 245th overall.