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preheat oven to 400º.
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in a small bowl, combine olive oil, garlic, red pepper flakes and parsley and season with salt and pepper.
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toss in shrimp and set aside to marinate.
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meanwhile, on a rimmed half sheet pan, toss onions and broccoli with a drizzle of olive oil and season with salt and pepper.
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spread out in a single layer and roast for 20 minutes.
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pour shrimp and marinade over roasted vegetables and toss together.
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spread out in a single layer and roast again until shrimp is pink and lightly toasted, 5 minutes.
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serve immediately.