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Preheat a grill to medium-high heat (about 400 – 425 degrees F).
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Cut 4 sheets of 14 by 12-inch heavy duty aluminum foil then lay each piece separately on countertop.
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Divide shrimp among packs near center then place asparagus to one side of the shrimp (going the long direction of the foil).
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Pour 1/2 Tbsp white wine over each. Sprinkle over garlic (1 tsp per packet) and lemon zest then season with salt and pepper.
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Divide butter pieces evenly among packets layering them over the shrimp and asparagus.
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Wrap packets in and crimp edges together then wrap ends up (don’t wrap too tight – keep a little extra space inside for heat to circulate).
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Grill, sealed side upward, until shrimp has cooked through, about 9 – 10 minutes.
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Carefully unwrap then drizzle with lemon juice (or just serve with lemon wedges for spritzing) and sprinkle with parsley.