Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel and cube the sweet potato into half-inch pieces and mince the garlic cloves.
In a small bowl, whisk together the olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Place the chicken breast and cubed sweet potatoes on the prepared baking sheet.
Drizzle the herb and garlic oil mixture over the chicken and potatoes, tossing the potatoes to ensure they are evenly coated.
Roast in the oven for 15 minutes.
Remove the tray briefly to add the broccoli florets, lightly tossing them in any remaining oil on the pan.
Return the tray to the oven and roast for an additional 10-12 minutes, or 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 keep it juicy, then serve immediately.