Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Pat the chicken breast completely dry with a paper towel to ensure the skin or surface gets maximum crispiness.
In a small mixing bowl, whisk together the olive oil, the juice from the half lemon, oregano, garlic powder, sea salt, and black pepper.
Place the chicken breast, broccoli florets, and sliced carrots onto the prepared baking sheet.
Drizzle the lemon-herb oil mixture over the chicken and vegetables, tossing the produce to ensure even coating.
Arrange everything in a single layer, ensuring the chicken is not crowded by the vegetables.
Roast for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender with lightly browned edges.
Remove from the oven and let the chicken rest for 5 minutes before slicing to lock in the juices.