Preheat your oven to 400°F (200°C) and line a large rimmed sheet pan with parchment paper for easy cleanup.
Peel the sweet potato if desired, then dice it into uniform 1/2-inch cubes to ensure even roasting.
Cut the chicken breast into bite-sized pieces, approximately 1 inch in size.
Place the chicken, sweet potato cubes, and broccoli florets onto the prepared sheet pan.
Drizzle the extra virgin olive oil over the ingredients, then sprinkle evenly with sea salt, black pepper, garlic powder, dried oregano, and smoked paprika.
Use your hands or tongs to toss everything together until every piece is well-coated in the oil and spice blend.
Spread the mixture out into a single layer, making sure the pieces are not touching too much so they roast rather than steam.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken is cooked through and the sweet potatoes are tender and lightly caramelized.