Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel and slice the carrots into rounds and cube the sweet potato into half-inch pieces.
Mince the garlic cloves and place them in a small bowl with the olive oil, rosemary, thyme, salt, and pepper.
Place the chicken breast, broccoli, carrots, and sweet potatoes on the prepared baking sheet.
Drizzle the garlic-herb oil mixture over everything, using your hands or a brush to ensure the chicken and vegetables are evenly coated.
Spread the ingredients into a single layer, ensuring the chicken has enough space to roast evenly.
Bake for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are fork-tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.
Plate the sliced chicken with the roasted vegetables and serve immediately.