Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the sweet potato and carrots, then dice the potato into 1-inch cubes and slice the carrots into half-inch thick rounds.
Place the vegetables on the baking sheet, drizzle with half of the olive oil, and toss with half of the salt, pepper, rosemary, and thyme.
Mince the garlic and combine it with the remaining olive oil and herbs, then rub this mixture thoroughly over the chicken breast.
Arrange the chicken on the baking sheet, nestled among the vegetables, ensuring everything is in a single layer for even roasting.
Roast for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and golden brown.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep the meat juicy and flavorful.