Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper to prevent sticking.
Peel the sweet potato and dice it into uniform 1/2-inch cubes to ensure even roasting and maximum crispiness.
Slice the chicken breast into bite-sized pieces, roughly the same size as the sweet potato cubes.
Place the sweet potato cubes, chicken pieces, and broccoli florets onto the prepared baking sheet.
Drizzle the extra virgin olive oil over the ingredients and sprinkle evenly with sea salt, black pepper, garlic powder, and smoked paprika.
Use your hands or a spatula to toss everything together until every piece is well-coated in oil and spices, then spread them out into a single layer.
Roast in the center of the oven for 20 to 25 minutes, tossing the ingredients halfway through, until the sweet potatoes are tender and the chicken is cooked through with a golden exterior.