Preheat the oven to 400 degrees. Wash and peel the sweet potato. Cut the sweet potato into one inch cubes. Wash the apples and then cut them into one inch cubes as well.
Place the cubed sweet potatoes and apples in a large bowl. Add the olive oil, cinnamon, and basil. Toss until everything is well coated in oil and spices. Spread the apples and potatoes out onto a baking sheet covered with parchment paper or foil. Make sure they’re in a single layer and not piled up on one another.
Roast the apples and potatoes for 30 minutes, or until they are tender and begin to look shriveled. Serve hot.