01 -
Combine flour, sea salt, and freshly ground black pepper in a shallow medium bowl. Coat each chicken piece in the flour mixture, shaking off excess.
02 -
Heat 3 tablespoons olive oil and 2 tablespoons unsalted butter in a large skillet over medium-high heat. Add 2 chicken pieces and cook for 3 minutes per side until golden brown. Transfer to a plate.
03 -
Add 1 tablespoon olive oil and 1 tablespoon butter to the skillet. Cook the remaining 2 chicken pieces as before, about 3 minutes per side. Transfer to the plate.
04 -
Pour lemon juice, chicken stock, and capers into the skillet, scraping up browned bits. Bring to a boil, then reduce heat to medium-low. Return chicken to the skillet and simmer gently for 5 minutes until cooked through.
05 -
Remove chicken from skillet. Stir 2 tablespoons butter into the sauce until melted and glossy. Pour sauce over chicken, garnish with chopped Italian parsley, and serve immediately.