Step 1

Heat oven to 450 degrees.

Step 2

Place chicken on a rimmed baking sheet and toss with turmeric and 2 tablespoons olive oil, and 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 oven.

Step 4

Bake chicken, without flipping, until cooked through and deeply browned all over, 25 to 30 minutes.

Step 5

Meanwhile, combine olives, garlic, parsley, the remaining 4 tablespoons olive oil and 2 tablespoons water in a small bowl; 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 (the stovetop, a counter), then pour the olive mixture onto the sheet.

Step 8

Using a spatula or wooden spoon, gently scrape up all the bits the chicken left behind, letting the olive mixture mingle with the rendered fat and get increasingly saucy.

Step 9

Pour olive mixture over the chicken, then serve.