Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel and dice the sweet potato into 1-inch cubes and slice the carrots into 1/2-inch thick rounds.
In a large mixing bowl, whisk together the olive oil, minced garlic, chopped rosemary, thyme, sea salt, and black pepper.
Add the chicken breast, sweet potatoes, and carrots to the bowl, tossing thoroughly until every piece is evenly coated in the herb oil.
Arrange the chicken and vegetables in a single layer on the prepared baking sheet, ensuring they are not overcrowded.
Roast for 25 to 30 minutes until the chicken is cooked through and the vegetables are tender and slightly caramelized.
Remove from the oven and allow the chicken to rest for 5 minutes before slicing into strips for serving.