Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
In a small bowl, whisk together the olive oil, lemon juice, lemon zest, minced garlic, dried oregano, sea salt, and black pepper to create the marinade.
Place the chicken breast, broccoli florets, and sliced carrots onto the prepared sheet pan.
Drizzle the lemon-herb marinade over the chicken and vegetables, tossing them thoroughly to ensure everything is evenly coated.
Arrange the ingredients in a single layer, ensuring the chicken is not covered by the vegetables to allow for even browning.
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.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy and flavorful.