Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Pat the chicken drumsticks thoroughly dry with paper towels to ensure the skin achieves maximum crispiness.
Scrub the potato and cut it into uniform 1-inch wedges or cubes.
In a large mixing bowl, combine the chicken drumsticks and potato wedges with olive oil, sea salt, black pepper, garlic powder, dried rosemary, and smoked paprika.
Toss everything together until the chicken and potatoes are evenly coated in the oil and spice mixture.
Spread the chicken and potatoes in a single layer on the prepared baking sheet, making sure they are not touching to allow for proper air circulation.
Bake for 35 to 40 minutes, flipping the potatoes halfway through, until the chicken reaches an internal temperature of 165°F and the skin is golden brown.
Remove from the oven and let the chicken rest for 5 minutes before serving to keep the meat juicy.