Preheat oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Chop the red potato, carrot, and red onion into uniform 1-inch cubes to ensure they roast evenly.
In a large mixing bowl, toss the chopped vegetables and minced garlic with half of the olive oil, rosemary, thyme, salt, and pepper.
Spread the seasoned vegetables in a single layer across the prepared baking sheet, leaving space for the chicken.
Brush the chicken breast with the remaining olive oil and season both sides with the remaining herb and spice mixture.
Place the chicken on the baking sheet, nestling it among the vegetables to absorb the aromatic flavors.
Roast for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are fork-tender.
Allow the chicken to rest for 5 minutes before slicing to ensure the meat remains succulent and juicy.