Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
In a small mixing bowl, whisk together the extra virgin olive oil, lemon juice, lemon zest, minced garlic, dried oregano, sea salt, and black pepper.
Slice the zucchini into half-moons and break the broccoli into bite-sized florets.
Place the chicken breast on one side of the prepared baking sheet and arrange the zucchini and broccoli on the other side.
Drizzle the lemon-herb marinade over the chicken and vegetables, using your hands or a brush to ensure everything is 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 and slightly browned.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.
Plate the sliced chicken alongside the roasted vegetables and drizzle with any remaining pan juices.