Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Slice the chicken breast into 1-inch bite-sized cubes. Peel the carrot and slice it into 1/4-inch rounds, and chop the zucchini into half-moons.
In a large mixing bowl, whisk together the extra virgin olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Add the chicken cubes, broccoli florets, sliced carrots, and zucchini to the bowl, tossing thoroughly until every piece is well-coated in the herb oil.
Spread the mixture in a single, even layer onto the prepared baking sheet, ensuring the pieces are not overcrowded to allow for proper roasting.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken is cooked through and the vegetables are tender with slightly caramelized edges.
Remove from the oven and let rest for 2 minutes before serving warm.