Parrish landed a picture-perfect left cross to send Edwards, a sometime training partner of ex-UFC champ Jon Jones, to the canvas, and a series of right hammerfists forced referee intervention.
Check out a video of the finish above courtesy of Bellator.
Bellator 266 took place Saturday at SAP Center in San Jose, Calif., and aired on Showtime.
Parrish was a huge underdog in betting lines with most lines having him at +700 against Edwards, who was undefeated as a pro and had won four straight Bellator fights coming into the bout on Saturday.
Parrish, who spent nearly two years on the bench due to his leg injury, wasted no time celebrating his win online.