Preheat the oven to 350 degrees.
Place the chicken drumsticks, broth, olive oil, white wine, lemon juice, and crushed garlic in a cast iron pan or a baking pan. Top with sea salt, cracked pepper, rosemary and oregano. Bake for 30 minutes.
Slice zucchini in half then cut lengthwise. Add to the pan of chicken and pour the pan juice on top of zucchini to coat. Bake for an additional 30 minutes. Enjoy!