All three were placed on unconditional waivers Sunday for the purpose of buying them out.
Los Angeles sheds the final five years of Richards and his US$5.75 million salary-cap hit.
Richards will be dead money on the cap through 2024-25 at varying costs.
Montreal could not find a taker for Parenteau and will have $1.33 million on the cap for the next two seasons if he clears waivers.
Fistric had two years left on his deal, and that buyout leaves a cap charge on Anaheim through 2018-19.
Rich Clune cleared unconditional waivers, allowing the Nashville Predators to buy him out.
While buyouts save some cap space, teams are still on the hook for a portion of a bought out player's contract.