Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the sweet potato and cut it into 1-inch cubes, then finely mince the garlic cloves and the fresh rosemary and thyme.
In a large mixing bowl, combine the chicken breast, sweet potato cubes, and broccoli florets.
Drizzle the olive oil over the ingredients and add the minced garlic, rosemary, thyme, sea salt, and black pepper.
Toss everything thoroughly until the chicken and vegetables are evenly coated in the oil and aromatics.
Spread the chicken and sweet potatoes onto the prepared baking sheet in a single layer, leaving the broccoli in the bowl for now.
Roast the chicken and potatoes for 15 minutes, then add the broccoli florets to the pan and toss slightly.
Return the sheet to the oven and roast for another 10 to 12 minutes until the chicken reaches an internal temperature of 165°F and the sweet potatoes are tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to ensure maximum juiciness.