Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Pat the chicken breast completely dry with paper towels and cut into uniform 1-inch bite-sized pieces.
Rinse the chickpeas and dry them thoroughly between two clean kitchen towels; removing as much moisture as possible is the key to achieving a great crunch.
In a large mixing bowl, combine the chicken pieces, dried chickpeas, and broccoli florets.
Drizzle the olive oil over the mixture and sprinkle with smoked paprika, garlic powder, sea salt, and black pepper.
Toss everything together until the ingredients are evenly coated in the oil and spices.
Spread the mixture in a single layer on the prepared baking sheet, ensuring the pieces are not crowded so they roast rather than steam.
Roast for 20 to 25 minutes, tossing the ingredients halfway through, until the chicken is golden and the chickpeas are noticeably crisp.
Remove from the oven and immediately drizzle with fresh lemon juice to brighten the flavors before serving in a shallow bowl.