Preheat oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the sweet potato and cut it into even wedges, then chop the broccoli into bite-sized florets.
Mince the garlic cloves finely.
In a small bowl, whisk together the extra virgin olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Place the chicken breast, sweet potato wedges, and broccoli florets on the prepared baking sheet.
Drizzle the herb oil mixture over the chicken and vegetables, tossing well to ensure everything 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 potatoes are tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing and serving.