Sear the chicken: Rub chicken thighs with half the paprika, salt, and pepper. Sear in olive oil until browned on all sides. Set aside.
Build the sauce: In the same pan, sauté onion and garlic. Add chorizo and cook until it releases its oils. Stir in remaining paprika, rosemary, chili flakes, tomatoes, and tomato purée.
Deglaze and simmer: Pour in red wine and chicken stock. Add broad beans and olives. Return chicken to the pan.
Cook: Simmer uncovered for 30–35 minutes until chicken is cooked through and sauce is rich and slightly thickened.
Serve: Garnish with fresh parsley and lemon wedges. Serve with crusty bread, rice, or roasted potatoes.