Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Peel the sweet potato and carrots, then chop them into uniform 1-inch cubes to ensure they roast evenly.
Place the chicken breast, sweet potato cubes, and carrots in a large mixing bowl.
Add the olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper to the bowl.
Toss the ingredients thoroughly until the chicken and vegetables are well-coated in the herb oil.
Spread the mixture in a single layer on the prepared baking sheet, giving the chicken space to brown.
Roast for 25 to 30 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 ensure it remains juicy, then serve with the roasted vegetables.