Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
Mince the garlic cloves finely and whisk them in a small bowl with the olive oil, dried rosemary, dried thyme, sea salt, and black pepper.
Peel and cube the sweet potato into half-inch pieces, and slice the carrots into thin rounds.
Place the chicken breast in the center of the sheet pan and arrange the sweet potatoes, carrots, and broccoli florets in a single layer around it.
Drizzle the garlic-herb oil mixture over the chicken and the vegetables, using your hands or a brush to ensure everything is thoroughly and evenly coated.
Roast in the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are tender when pierced with a fork.
Remove from the oven and let the chicken rest for 5 minutes before slicing to ensure the juices redistribute for maximum tenderness.