Preheat oven to 425 F. Prepare baking sheet, lining with parchment paper.
Roughly chop the broccoli. Note if you’d like, you can chop parts of the stem to use as well (just make sure to avoid the rough bottom of the stem). Season with olive oil, garlic powder, onion powder, salt, and pepper.
Drain and rinse the chickpeas. Dry well, removing the outer layer of the skin that may come off while drying. Add to the baking sheet with parchment paper and drizzle with 1 tablespoon of olive oil, salt, and pepper.
Place baking sheet with the broccoli and chickpeas into the oven for about 20-30 minutes, tossing both halfway through, until the broccoli is soft and lightly charred and the chickpeas are darker brown and crispy.
Prepare the salad. Add broccoli and chickpeas to a large bowl and toss with dressing. Add the grated parmesan. Toss well and serve.