Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Wash and scrub the sweet potato, then cut it into even wedges about 1/2 inch thick.
Slice the chicken breast into strips of similar thickness to the potato wedges to ensure they cook evenly.
In a large mixing bowl, combine the sweet potato wedges and chicken strips with olive oil, sea salt, black pepper, garlic powder, oregano, and smoked paprika.
Toss everything thoroughly until the chicken and potatoes are well-coated in the oil and spice blend.
Spread the mixture in a single layer on the prepared baking sheet, making sure not to crowd the pieces so they can crisp up properly.
Roast in the oven for 20 to 25 minutes, flipping halfway through, until the chicken is cooked through and the potato wedges are golden and tender.
While the tray is roasting, steam the broccoli florets for 4 to 5 minutes until they are bright green and tender-crisp.
Plate the roasted chicken and crispy sweet potato wedges alongside the steamed broccoli and serve immediately.