Cut the chicken in half (separate the thigh from the drumstick). Reserve.
In a large bowl, mix salt, pepper, turmeric, cumin, and 1 tablespoon of olive oil. Reserve 15 minutes.
Wash and peel the carrots, and cut them half lengthwise. Peel and cut the onion into large cubes.
Peel and smash the garlic cloves. Chop the parsley. Rinse the olives under cold water so they are not too salty. Press the juice of one lemon, cut the other 1/2 lemon into 3 pieces.
In a large saucepan, heat under high heat and sear the chicken skin down first with 2 tablespoons olive oil. Sear the chicken for 3 minutes on each side over medium heat.
Remove the chicken and sear the onions until translucent. Add 1 tablespoon sugar, carrots, and chicken broth, boil for 5 minutes, add the chicken back to the pan, and cook for 15 minutes with a lid on over low heat.
Add the lemon juice and lemon pieces and cook 10 more minutes; add parsley, olives, and butter, cook 10 more minutes and season with salt and pepper.
Dress your plate, maybe use a pasta bowl, add gently, and with love, all the ingredients in your plates except the sauce.
Bring the sauce to a boil, whisk well, and add the butter. Whisk well again while boiling. Taste and, if needed, adjust the seasoning, and serve over the chicken dish. Add a few leaves of cilantro to bring freshness.
Enjoy!