Add the shrimp, olive oil, Italian seasoning, Dijon mustard, salt, and pepper to a large bowl. Toss well to combine.
1 pound large shrimp, 4 tablespoons olive oil, 1 tablespoon Italian seasoning, 1 teaspoon Dijon mustard, ½ teaspoon kosher salt, ¼ teaspoon ground black pepper
Place the shrimp on a hot grill and grill on both sides until no longer opaque, about 1-2 minutes per side. Remove from the grill and place on your serving platter.
In a small saucepan, melt the butter over medium heat. Add in the garlic and lemon zest strips. Cook and stir until fragrant, about 1-2 minutes. Stir in the parsley. Brush over warm shrimp. Serve with lemon wedges.
1 lemon, ¼ cup unsalted butter, 1 clove garlic, 2 (2-inch) strips lemon zest, 1 tablespoon finely chopped fresh parsley