Preheat oven to 400°F (204°C) and line a large rimmed baking sheet with parchment paper.
In a large mixing bowl, toss the sweet potato cubes with 1.5 tablespoons of olive oil, 0.5 teaspoon salt, 0.5 teaspoon pepper, and 0.5 teaspoon smoked paprika.
Spread the sweet potatoes in a single layer on the prepared baking sheet and roast for 10 minutes.
While potatoes roast, use the same bowl to toss the chicken cubes with the remaining olive oil, garlic powder, oregano, and the remaining salt, pepper, and paprika.
Remove the baking sheet from the oven and add the seasoned chicken and broccoli florets to the pan, distributing them evenly among the potatoes.
Return the sheet to the oven and roast for an additional 15 to 18 minutes until the chicken reaches an internal temperature of 165°F (74°C) and the sweet potatoes are fork-tender.
Allow the mixture to cool slightly before dividing into four airtight meal prep containers.