Pat chicken dry, season with salt and pepper, then lightly coat with flour; shake off excess.
Heat olive oil in a large skillet over medium-high. Brown chicken skin-side down until golden; remove.
Brown sausage pieces in the same pan until nicely colored; transfer with chicken.
Add onion and bell pepper to the pan. Cook until softened and lightly browned.
Stir in garlic; cook 30 seconds until fragrant.
Pour in white wine, scraping up browned bits; simmer until reduced by half.
Add broth, pepper brine, cherry peppers, oregano, rosemary, and red pepper flakes; bring to a simmer.
Return chicken and sausage, nestling into the sauce. Cover and simmer until chicken is cooked through.
Uncover and simmer a few minutes to thicken slightly.
Stir in lemon juice and butter; taste and adjust seasoning. Sprinkle parsley and serve.