Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel and dice the sweet potato into 1/2-inch cubes and slice the carrots into 1/4-inch thick rounds.
Mince the garlic cloves and finely chop the fresh rosemary and thyme leaves.
In a large mixing bowl, whisk together the extra virgin olive oil, minced garlic, rosemary, thyme, sea salt, and black pepper.
Add the chicken breast, cubed sweet potatoes, and sliced carrots to the bowl, tossing thoroughly until everything is evenly coated in the herb oil.
Spread the chicken and vegetables in a single layer on the prepared baking sheet, ensuring they are not overcrowded to allow for proper browning.
Roast in the center of the oven for 25-30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and golden-brown.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted root vegetables.