Reduce heat to low/medium-low. Add the cream and parsley and bring to a simmer, stirring frequently. Use a spoon to baste the chicken with the cream. Cover and simmer until the chicken is cooked through, about 20-30 minutes. Rotate the chicken around, flip, and baste occasionally. Adjust temperature to keep a simmer and prevent cream from boiling up. Use a meat thermometer to ensure the chicken has reached an internal temperature of 165° F.
Garnish with additional parsley and lemon zest. Bon Appétit!
Note: You may substitute boneless, skinless thighs or breasts; Adjust cooking time as needed.