Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
Peel and chop the carrots, parsnips, and red potato into uniform 1-inch cubes to ensure even cooking.
Mince the garlic cloves and finely chop the fresh rosemary and thyme leaves.
In a large mixing bowl, toss the prepared root vegetables with half of the olive oil, half of the minced garlic, half of the fresh herbs, and a pinch of salt and pepper.
Spread the vegetables in a single layer on one side of the prepared baking sheet.
Pat the chicken breast dry with a paper towel, then rub it thoroughly with the remaining olive oil, garlic, herbs, salt, and pepper.
Place the chicken breast on the other side of the baking sheet, nestling it slightly among the vegetables.
Roast in the center of the oven for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are golden and tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.
Serve the sliced chicken alongside the roasted root vegetables, drizzling any remaining pan juices over the top.