Place a rack in the center of your oven and preheat to 325°F. Pat the chicken very dry and transfer to a rimmed baking sheet or roasting pan (make sure your pan is large enough to cook the pieces without them overlapping; a little touching at the sides is OK).

In a bowl or liquid measuring cup with a spout, whisk together the oil, salt, paprika, smoked paprika, cumin, garlic powder, cayenne, and black pepper. Rub it all over the chicken, coating both sides. Arrange the chicken quarters skin-side up.

Roast the chicken quarters until an internal read thermometer inserted at the thickest part registers 165°F, about 1 to 1 1/2 hours (don’t worry if you go over; dark meat is very forgiving and will still taste super tender; I've left this in until about 190°F with great results). Transfer to a carving board. Cover and let rest 10 minutes, then enjoy with the pan juices spooned over the top (or mop them up with bread, yum!).