Preheat the oven to 400°F (200°C) and line a baking sheet with aluminum foil.
In a small bowl, combine smoked paprika, garlic powder, lemon & pepper seasoning, onion powder, and salt.
Pat the chicken quarters/legs dry with paper towels, then place them on the prepared baking sheet.
Brush or rub about 2 tablespoons olive oil evenly over the chicken (about 1/2 tablespoon per piece).
Sprinkle the spice mixture evenly over both sides of each chicken piece in a thin layer.
Place the chicken skin-side up on the baking sheet and bake in the preheated oven for 20 minutes.
Carefully flip the chicken and continue baking for an additional 15–20 minutes, or until the internal temperature reaches 175°F when checked in the thickest part of the leg.
Remove from the oven and let the chicken rest on the pan for 1–2 minutes before serving.