Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Peel the sweet potato and dice into 1-inch cubes, then slice the carrot into 1/2-inch rounds.
Place the chicken breast, diced sweet potato, carrot rounds, and broccoli florets on the prepared baking sheet in a single layer.
In a small bowl, whisk together the extra virgin olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Drizzle the herb oil mixture over the chicken and vegetables, tossing thoroughly to ensure every piece is evenly coated.
Roast in the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are golden and tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to retain its juices, then serve immediately.