Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Pat the chicken breast completely dry with a paper towel to ensure the surface gets extra crispy during roasting.
In a small bowl, whisk together the olive oil, lemon juice, minced garlic, oregano, thyme, sea salt, and black pepper.
Place the chicken breast, broccoli florets, and sliced carrots on the prepared baking sheet in a single layer.
Drizzle the lemon-herb oil mixture over the chicken and vegetables, tossing the veggies to ensure they are evenly coated.
Roast in the center of the oven for 20 to 25 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 keep it juicy, then serve alongside the roasted vegetables.