Remove the chicken from the bag and pat it dry with paper towels. Season with kosher salt and pepper, going heavy on the pepper. Heat the oil in a 12-inch heavy-bottomed cast iron or stainless-steel skillet over medium-high heat until it is lightly smoking. Add the chicken pieces and cook without disturbing until they are lightly browned on the first side, about 4 minutes. Using tongs, flip the chicken. Reduce the heat to medium and cook until the chicken is cooked through and the center of each thigh registers 165°F. on an instant-read thermometer, about 6 minutes longer. Transfer the chicken to a cutting board and allow to cool for 5 minutes.
For the rice: Melt the butter over medium heat in a large Dutch oven. Add the turmeric and cumin and cook until fragrant but not browned, about 1 minute. Add the rice and stir to coat. Cook, stirring frequently, until the rice is lightly toasted, about 4 minutes. Add the chicken broth. Season to taste with salt and pepper.
