Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Wash and peel the sweet potato, then dice it into uniform 1/2-inch cubes to ensure even roasting.
Cut the broccoli into bite-sized florets and finely mince the garlic cloves.
In a small bowl, whisk together the extra virgin olive oil, minced garlic, rosemary, thyme, sea salt, and black pepper.
Place the chicken breast, sweet potato cubes, and broccoli florets into a large mixing bowl.
Pour the garlic-herb oil over the ingredients and toss thoroughly until every piece is well-coated.
Spread the chicken and vegetables in a single layer on the prepared baking sheet, making sure not to crowd the pan.
Roast for 20 to 25 minutes, or 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 it into strips to serve alongside the roasted vegetables.