Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Wash the sweet potato and zucchini; dice the sweet potato into 1/2-inch cubes and slice the zucchini into 1/2-inch thick half-moons.
Cut the chicken breast into 1-inch bite-sized pieces, ensuring they are uniform in size for even cooking.
Place the chicken, sweet potato cubes, and zucchini slices onto the prepared sheet pan.
Drizzle the olive oil over the ingredients and sprinkle evenly with sea salt, black pepper, garlic powder, dried oregano, and smoked paprika.
Toss everything together with your hands or tongs until the chicken and vegetables are thoroughly coated in oil and spices.
Spread the mixture out into a single layer, ensuring the pieces are not overcrowded 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 fork-tender and lightly browned.