Allen joins several other veterans in leaving the Chargers, including wide receiver Mike Williams and running back Austin Ekeler.
Herbert is out for the season because of an injured right index finger, leaving an underperforming Chargers team "frustrated."
As Austin Ekeler continues to struggle since his return in Week 5, Chargers coach Brandon Staley hinted that changes could be coming to the Los Angeles backfield.
Ekeler looked to be back in top form with a touchdown that put the Chargers up early against the Bears.
Running back Austin Ekeler said there is a "99% chance" he will play in the Chargers' Week 6 game against the Cowboys on Monday night.
Chargers running back Austin Ekeler is still working toward being "100%" comfortable making turns and cuts without pain, while safety Derwin James hasn't practiced all week due to a hamstring injury.