Add the garlic cloves to a food processor and pulse to finely chop. Add the parsley and pulse a few times to coarsely chop. Add the butter, Parmesan, lemon zest, red pepper flakes, if using, and 1 1/2 teaspoons salt to the food processor and pulse to completely combine all ingredients, scraping down the sides of the bowl halfway through, about 1 minute. Sprinkle the shrimp on both sides with salt and pepper.
Spread about half of the butter mixture in an even layer on the bottom of a 9-by-13-inch rimmed quarter baking sheet using an offset spatula or spoon. Arrange the shrimp on top in a single layer and top with the remaining butter.
Unroll the pizza dough from the can and flatten into an even layer. Sprinkle the exposed side of the dough all over with 3 tablespoons sesame seeds, making sure to get the edges. Press gently to adhere the seeds to the dough. Flip the dough over so the sesame seeds are facing down, and sprinkle the top with the remaining 3 tablespoons sesame seeds; press to adhere.
Top the shrimp with the dough and gently stretch it so it hangs over the sides by about 1/2 inch. Gently tuck the sides into the pan to completely encase the shrimp.
Bake the shrimp until golden brown and the butter is bubbling around the sides, about 18 minutes. Let sit for 5 minutes. Invert onto a square platter or cutting board, then drizzle with the lemon juice and top with more Parmesan before serving.
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