Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Finely mince the garlic cloves and strip the leaves from the rosemary and thyme sprigs, chopping them finely.
In a small glass bowl, whisk together the olive oil, minced garlic, chopped rosemary, chopped thyme, sea salt, and black pepper.
Place the chicken breast on one side of the baking sheet and arrange the broccoli florets and sliced carrots on the other side.
Drizzle the garlic-herb oil mixture over the chicken and the vegetables, using your hands or a brush to ensure everything is evenly coated.
Slide the tray into the oven and roast for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender.
Remove from the oven and let the chicken rest for 5 minutes to lock in the juices before slicing it against the grain to serve.