Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the sweet potato and cut it into 1-inch cubes; slice the carrots into half-inch rounds.
In a large bowl, toss the sweet potato cubes and carrots with half of the olive oil, sea salt, and black pepper.
Spread the vegetables on one side of the baking sheet and roast for 10 minutes.
While vegetables roast, rub the chicken breast with the remaining olive oil, minced garlic, dried rosemary, and dried thyme.
Remove the baking sheet from the oven, add the broccoli florets and the seasoned chicken breast to the empty side.
Return the sheet to the oven and roast for an additional 18-22 minutes, or until the chicken reaches an internal temperature of 165°F.
Let the chicken rest for 5 minutes before slicing to ensure it stays juicy.