Preheat the oven to 400 degrees F (218 degrees C). Line a baking sheet with foil and place an oven safe rack on top.
Pat the chicken leg quarters dry with paper towels, which will help them get crispy.
Brush the chicken quarters with olive oil on both sides. Season both sides with paprika, garlic powder, onion powder, salt, and pepper.
Arrange the chicken on the rack, skin side down. Bake the chicken leg quarters in the oven for 15 minutes. Flip and bake for another 20-30 minutes, until the internal temperature reaches 170 degrees F (74 degrees C).
Optional step: If they are not crispy enough for your liking, place under the broiler for 2-3 minutes to crisp up the skin even more.
Rest for 5 minutes before serving.