Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Peel the sweet potato and cut it into 1-inch cubes, and slice the carrots into 1/2-inch thick rounds.
In a small bowl, whisk together the olive oil, minced garlic, rosemary, thyme, sea salt, and black pepper.
Place the chicken breast and the chopped vegetables onto the prepared baking sheet.
Drizzle the herb oil over the chicken and vegetables, tossing with your hands to ensure every piece is thoroughly coated.
Spread the ingredients into a single layer, making sure the chicken is not covered by the vegetables.
Roast for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender with golden, caramelized edges.