Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
Cut the chicken breast into even 1-inch cubes to ensure they cook at the same rate as the vegetables.
Mince the garlic cloves and place them in a large mixing bowl.
Add the olive oil, rosemary, thyme, sea salt, and black pepper to the bowl with the garlic and whisk to combine.
Add the chicken cubes, broccoli florets, sliced carrots, and sliced zucchini to the bowl.
Toss everything together until the chicken and vegetables are thoroughly and evenly coated in the herb oil.
Spread the mixture in a single layer on the prepared baking sheet, making sure not to overcrowd the pan so the vegetables roast rather than steam.
Roast for 20 to 25 minutes, tossing the ingredients halfway through, until the chicken is cooked through and the vegetables are tender with golden-brown edges.
Remove from the oven and serve immediately while hot.