Preheat the oven to 400°F (200°C).
In a large mixing bowl, combine olive oil, minced garlic, Italian seasoning, salt, and pepper.
Add the chicken drumsticks to the bowl and toss until they are well coated with the marinade.
Add the potato wedges to the same bowl and toss them with any leftover marinade.
Arrange the chicken and potatoes on a baking sheet in a single layer.
Sprinkle the grated Parmesan cheese evenly over the chicken and potatoes.
Bake in the preheated oven for 40-45 minutes, or until the chicken is cooked through and the potatoes are tender.
Let the dish rest for a few minutes before serving.
