Stir shrimp, oil, and garlic in a large bowl to combine. Add breadcrumbs and parsley, and toss until shrimp are evenly coated. Sprinkle shrimp with salt and pepper. Thread shrimp on skewers; place on plate. Cover and refrigerate up to 3 hours.
Prepare barbecue (medium-high heat). Grill shrimp until just opaque in center and crumbs coating begins to brown, about 2 minutes per side.
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