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Step 1
Pre-heat oven to 450°F.
Step 2
Place chicken on a rimmed baking sheet and toss with turmeric and 2 tablespoons olive oil; season with salt and pepper.
Step 3
Make sure chicken is skin-side up, then pour vinegar over and around chicken and place in the pre-heated oven.
Step 4
Bake chicken, without flipping, until cooked through and deeply browned all over; 25 to 30 minutes.
Step 5
Meanwhile, in a small bowl, combine olives, garlic, parsley, the remaining 4 tablespoons olive oil and 2 tablespoons water; season with salt and pepper.
Step 6
Once chicken is cooked, remove baking sheet from the oven and transfer chicken to a large serving platter, leaving behind any of the juices and bits stuck to the pan.
Step 7
Make sure the baking sheet is on a sturdy surface, then pour the olive mixture onto the sheet.
Step 8
Using a spatula or wooden spoon, gently scrape up all the bits of chicken left behind, letting the olive mixture mingle with the rendered fat and get increasingly saucy.
Step 9
Pour olive mixture over the chicken and serve.