Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Peel the sweet potato and cut it into 1-inch cubes, then place them on one side of the prepared baking sheet.
Mince the garlic cloves and finely chop the fresh rosemary and thyme leaves.
In a small bowl, whisk together the olive oil, minced garlic, rosemary, thyme, sea salt, and black pepper.
Drizzle half of the herb oil over the sweet potatoes and toss to coat evenly.
Place the chicken breast on the other side of the pan and rub the remaining herb oil over all sides of the meat.
Roast in the oven for 15 minutes, then briefly remove the pan to add the broccoli florets, tossing them in the residual pan juices.
Return the pan to the oven for another 10-12 minutes until the chicken reaches an internal temperature of 165°F and the vegetables are tender.
Let the chicken rest for 5 minutes before slicing to ensure every bite is succulent and flavorful.