Preheat your oven to 400°F and line a large baking sheet with parchment paper to prevent sticking without using oil.
Peel the carrots and sweet potatoes, then slice them into uniform 1-inch pieces to ensure even cooking.
Mince the garlic cloves finely.
In a small bowl, combine the chicken broth, lemon juice, minced garlic, dried thyme, dried rosemary, sea salt, and black pepper.
Place the chicken breast, sliced carrots, and sweet potatoes in a large mixing bowl and pour the herb mixture over them, tossing well to coat every piece.
Spread the chicken and vegetables out on the prepared baking sheet in a single layer.
Roast in the oven for 25 to 30 minutes, or until the chicken is cooked through and the vegetables are tender and lightly browned.
Remove from the oven and let the chicken rest for several minutes before slicing it into strips to serve with the roasted vegetables.