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 slice the carrots into half-inch rounds.
Place the chicken breast, cubed sweet potatoes, sliced carrots, and broccoli florets onto the prepared baking sheet.
Drizzle the extra virgin olive oil over the chicken and vegetables, ensuring everything is lightly coated.
Evenly sprinkle the dried rosemary, dried thyme, garlic powder, sea salt, and black pepper over all components on the pan.
Toss the vegetables with your hands or a spatula to distribute the seasonings, and flip the chicken to coat both sides.
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 vegetables are fork-tender and slightly browned.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.