Preheat your oven to 400°F and line a large sheet pan with parchment paper for easy cleanup.
Peel and cube the sweet potato into 1/2-inch pieces, then toss them directly on the pan with half of the olive oil and a pinch of sea salt.
Spread the sweet potatoes in a single layer and roast for 10 minutes to give them a head start.
While the potatoes roast, combine the grated parmesan, almond flour, garlic powder, smoked paprika, salt, and pepper in a shallow dish.
Brush the chicken breast with the remaining olive oil, then dredge it through the parmesan mixture, pressing firmly so the crust adheres to both sides.
Remove the pan from the oven, move the potatoes to one side, and add the broccoli florets and the crusted chicken breast.
Return the pan to the oven and bake for 18-20 minutes, or until the chicken reaches an internal temperature of 165°F and the crust is beautifully golden.