Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Cut the chicken breast into uniform 1-inch bite-sized pieces and dice the sweet potato into small half-inch cubes.
In a shallow bowl, whisk together the almond flour, lemon zest, dried oregano, garlic powder, sea salt, and black pepper.
Place the chicken bites in a separate bowl and toss with half of the olive oil, then dredge each piece in the almond flour mixture until evenly coated.
Arrange the coated chicken bites, diced sweet potatoes, and broccoli florets on the prepared baking sheet in a single layer.
Drizzle the remaining olive oil over the sweet potatoes and broccoli, tossing them lightly to coat.
Bake for 18 to 20 minutes, flipping the chicken and tossing the vegetables halfway through, until the chicken is cooked through and the coating is golden and crispy.