Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
In a small mixing bowl, whisk together the olive oil, lemon zest, lemon juice, minced garlic, dried oregano, dried thyme, sea salt, and black pepper.
Place the chicken breast on one side of the sheet pan and arrange the broccolini and sliced carrots on the other side.
Drizzle the lemon-herb oil mixture over the chicken and the vegetables, using your hands or a brush to ensure everything is evenly coated.
Roast in the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender with slightly charred edges.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.
Serve the sliced chicken alongside the roasted vegetables and drizzle with any remaining pan juices.