Preheat your oven to 425°F (220°C).
Prepare a baking sheet with foil for easy cleanup.
In a large bowl, combine minced garlic, olive oil, Italian herbs, salt, and pepper.
Add the chicken drumsticks to the bowl and toss them in the garlic mixture until well coated.
Cut the baby potatoes in half and add them to the same bowl, tossing to combine.
Arrange the chicken and potatoes on the prepared baking sheet in a single layer.
Sprinkle the grated Parmesan cheese over the chicken and potatoes.
Bake for 35-40 minutes or until the chicken is cooked through and the potatoes are fork-tender.
Let the dish rest for 5 minutes before serving.