01 - In a large bowl, whisk together the coconut milk, soy sauce, lime juice, brown sugar, garlic, ginger, coriander, turmeric, cumin, chili flakes, salt, and pepper until well combined.
02 - Add the chicken thighs and drumsticks to the marinade, turning each piece to coat thoroughly. Cover the bowl and refrigerate for at least 2 hours, or overnight for the deepest flavor penetration.
03 - Preheat the oven to 400°F. Remove the chicken from the marinade and arrange the pieces on a foil-lined baking sheet or in a large roasting pan. Reserve the remaining marinade for basting.
04 - Roast the chicken for 35 to 40 minutes, basting with the reserved marinade halfway through cooking, until the skin is golden and the internal temperature reaches 165°F.
05 - Switch the oven to broil for the final 2 to 3 minutes to achieve an extra-crisp skin. Watch carefully to avoid burning.
06 - Remove the chicken from the oven and let it rest for 5 minutes to allow the juices to redistribute.
07 - Garnish with chopped fresh cilantro and lime wedges. Serve hot alongside steamed jasmine or basmati rice.