Preheat the oven to 425°F (220°C).
Pat the drumsticks dry with paper towels and season them with the salt and black pepper.
Heat the olive oil in a small skillet over medium heat.
Add the minced garlic, smoked paprika, red pepper flakes, chopped parsley, and chopped oregano to the oil and cook, stirring, for about 1 minute, taking care not to burn the garlic.
Pour the garlic-paprika oil over the seasoned drumsticks and use tongs or a spoon to coat each piece thoroughly.
Arrange the coated drumsticks in a 9×13 baking dish in a single layer.
Bake for about 45 minutes, or until the drumsticks are cooked through and an instant-read thermometer inserted into the thickest part reads at least 165°F (74°C).
Remove from the oven and let rest briefly before serving with your preferred side.
