Place the chicken drumsticks, oil, Italian seasoning, garlic powder, and sea salt into a large zip-top bag; seal and shake until the drumsticks are evenly coated. Alternatively, combine everything in a large bowl and cover with plastic wrap.
Refrigerate the coated drumsticks for at least 15 minutes, or up to 24 hours for more flavor.
When ready to cook, preheat the oven to 450°F (230°C).
Arrange the marinated drumsticks in a single layer on a rimmed baking sheet or roasting pan; line with parchment paper or foil or spray with cooking spray if desired to prevent sticking.
Bake for 20 minutes, or until the chicken is golden brown and cooked through.
For extra-crispy skin, move the baking sheet to the upper oven rack (second from the top) and broil for 5 to 8 minutes, watching closely to avoid burning.
Remove the drumsticks from the oven, drizzle with 2 to 3 tablespoons honey, and serve.