Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Pat the chicken legs thoroughly dry with paper towels; this is the secret to achieving that perfectly crispy skin.
Finely mince the garlic clove and strip the rosemary leaves from the stem, chopping them finely.
In a large mixing bowl, combine the chicken legs, broccoli florets, and sliced carrots.
Drizzle with olive oil and sprinkle with sea salt, black pepper, minced garlic, and chopped rosemary.
Toss everything together until the chicken and vegetables are evenly coated in the oil and aromatics.
Spread the mixture onto the prepared baking sheet in a single layer, ensuring the chicken pieces aren't crowded.
Roast for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the skin is golden brown and crackling.
Remove from the oven and let the chicken rest for 5 minutes before serving to keep the meat juicy.