Add half of minced parsley and all of fish, skin sides up if fillets, then start gently swirling pot, holding onto both handles (it helps to plant your feet apart from each other) so fish moves slowly around edge of bottom of pot and oil laps over it. Cook fish, swirling pot, until bottom 1/2 inch of fish turns white, about 5 minutes. Carefully turn fish over and continue cooking, swirling pot and adding 1 or 2 tablespoons of stock every minute or two, until sauce is emulsified and fish is almost cooked through, about 10 minutes. (You will use about 1/2 cup stock.)