Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Cut the chicken breast into uniform 1-inch bite-sized pieces for even cooking.
In a medium mixing bowl, whisk together 1 tablespoon of olive oil, lemon juice, lemon zest, oregano, thyme, garlic powder, sea salt, and black pepper.
Add the chicken bites to the bowl and toss thoroughly until every piece is well-coated in the herb marinade.
Place the broccoli florets on one side of the prepared baking sheet, drizzle with the remaining 0.5 tablespoon of olive oil, and toss with a small pinch of salt.
Spread the marinated chicken bites in a single layer on the other side of the baking sheet, ensuring they are not crowded.
Roast for 15 to 18 minutes, or until the chicken is golden and cooked through to an internal temperature of 165°F and the broccoli is crisp-tender.
Remove from the oven and serve immediately as a meal, or portion into containers for a high-protein snack throughout the week.