Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel and cube the sweet potato into half-inch pieces, slice the carrots into rounds, and break the broccoli into bite-sized florets.
Mince the garlic cloves finely.
In a small bowl, whisk together the extra virgin olive oil, minced garlic, rosemary, thyme, sea salt, and black pepper.
Place the chicken breast and all the prepared vegetables onto the baking sheet.
Drizzle the herb oil mixture over the chicken and vegetables, using your hands or a spatula to toss everything until thoroughly and evenly coated.
Spread the ingredients out in a single layer, ensuring the chicken is not covered by the vegetables to allow for even browning.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are fork-tender.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.