Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel the sweet potato and cut it into 1/2-inch cubes to ensure even cooking.
Cut the chicken breast into bite-sized 1-inch chunks.
In a large mixing bowl, combine the chicken, sweet potato cubes, and broccoli florets.
Drizzle the olive oil over the mixture and sprinkle with sea salt, black pepper, garlic powder, dried oregano, and smoked paprika.
Toss everything thoroughly until the chicken and vegetables are evenly coated in oil and spices.
Spread the mixture in a single layer on the prepared baking sheet, ensuring the pieces aren't too crowded.
Roast in the oven for 20 to 25 minutes, tossing halfway through, until the chicken reaches an internal temperature of 165°F and the sweet potatoes are fork-tender.
Remove from the oven and serve immediately while hot.