Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Peel and dice the sweet potato into half-inch cubes and slice the carrots into thin rounds.
Mince the garlic cloves and finely chop the fresh rosemary and thyme leaves.
In a large mixing bowl, toss the sweet potato cubes, carrots, and broccoli florets with half of the olive oil and a pinch of sea salt and pepper.
Place the chicken breast on the prepared baking sheet and rub with the remaining olive oil, minced garlic, rosemary, thyme, salt, and pepper.
Spread the prepared vegetables in a single layer around the chicken breast on the pan.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are caramelized.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.