Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Pat the chicken breast dry with a paper towel and cut it into 1-inch bite-sized cubes.
Rinse and drain the chickpeas, then pat them thoroughly dry with a clean kitchen towel to ensure they achieve maximum crispiness.
Chop the broccoli into small, uniform florets and slice the bell pepper into 1-inch squares.
Place the chicken cubes, dried chickpeas, broccoli, and peppers onto the prepared baking sheet.
Drizzle the olive oil over the ingredients and sprinkle evenly with smoked paprika, garlic powder, sea salt, and black pepper.
Toss everything together with your hands or tongs until well coated, then spread into a single, even layer.
Roast for 20 to 25 minutes, tossing halfway through the cooking time, until the chicken is cooked through and the chickpeas are golden and crisp.
Divide the mixture into bowls and serve immediately while hot.