Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel and cube the sweet potato into 1-inch pieces and slice the carrots into rounds.
In a bowl, toss the sweet potatoes and carrots with half of the olive oil, half of the sea salt, and half of the black pepper.
Spread the vegetables in a single layer on the baking sheet and roast for 15 minutes.
While vegetables roast, whisk together the remaining olive oil, lemon juice, lemon zest, rosemary, and thyme in a small bowl.
Brush the herb mixture over the chicken breast and season with the remaining salt and pepper.
Move the vegetables to the sides of the pan, place the chicken in the center, and roast for an additional 20-25 minutes until the chicken reaches an internal temperature of 165°F.
Remove from the oven and let the chicken rest for 5 minutes before slicing and serving with the roasted vegetables.