Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the carrots and parsnips, then slice them into uniform 1-inch pieces to ensure even cooking.
In a mixing bowl, toss the root vegetables with half of the olive oil, minced garlic, and a pinch of salt and pepper.
Pat the chicken breast dry with a paper towel and rub both sides with the remaining olive oil, chopped rosemary, thyme, salt, and pepper.
Place the chicken in the center of the baking sheet and surround it with the seasoned carrots and parsnips in a single layer.
Roast for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and golden.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.