Rub the salt, pepper and paprika into the chicken pieces and set aside for approximately 30 minutes to come to room temperature. This will allow the spices to flavour the chicken. You could also do this the night before, put the chicken in the fridge and take it out half an hour before cooking.
Preheat the oven to 175C.
Heat the olive oil or butter in a large casserole dish with a lid. Cook the chicken pieces over a medium heat until lightly browned, about 10 minutes per side. Take the chicken out of the pan and set aside.
Stir the vinegar into the pan, then add the onions, chorizo, garlic. and a large pinch of salt. Cover and cook, stirring occasionally, until the onions are tender, about 10 minutes.
Stir in the tomatoes, bone broth, capsicums, tomato paste, 2tbsp of rosemary, chilli and olives. Add the chicken pieces and the optional cherry tomatoes. Bring to a simmer then put the lid on the casserole and place in the oven for 30 minutes.
Remove the dish from the oven. If the sauce is a little too thin simmer the casserole on the stovetop, uncovered, for a few minutes until it has thickened. Stir in the remaining tbsp of rosemary and taste the sauce for salt, pepper and chilli.
Serve the casserole with potato or cauliflower mash and a lovely green salad.