Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Mince the garlic cloves finely and combine them in a small bowl with half of the olive oil, dried rosemary, dried thyme, sea salt, and black pepper.
Place the chicken breast on one side of the prepared baking sheet and rub the garlic-herb mixture evenly over both sides.
In a separate bowl, toss the broccoli florets, sliced carrots, and sliced zucchini with the remaining olive oil and a small pinch of salt and pepper.
Spread the vegetables in a single layer on the other side of the baking sheet, ensuring they are not overcrowded to allow for proper browning.
Roast for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and lightly caramelized.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.