Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Dice the sweet potato into 1-inch cubes and slice the carrots into thin rounds.
Mince the garlic cloves and whisk them in a small bowl with the olive oil, rosemary, thyme, sea salt, and black pepper.
Place the chicken breast, sweet potato cubes, carrots, and broccoli florets onto the prepared sheet pan.
Drizzle the herb and garlic oil mixture over the chicken and vegetables, tossing the produce and brushing the chicken to ensure everything is evenly coated.
Spread the ingredients into a single layer, ensuring the chicken has space around it to roast properly.
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 fork-tender.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve immediately with the roasted vegetables.