In my opinion and experience I woldn't use cooked shrimp in place of raw shrimp they will come out rubbery and with no taste. IF the cooked shrimp are frozen keep them for somehthing else and get raw shrimp.
This.
You can't substitute cooked for raw in a recipe.
We make scampi all of the time and one of the best recipes I found is from, believe it or not, Ina Garten.
http://www.foodnetwork.com/recipes/ina-garten/baked-shrimp-scampi-recipe/index.html
Baked Shrimp Scampi
Ina Garten
2008, Barefoot Contessa Back to Basics, All Rights Reserved
Show: Barefoot ContessaEpisode: Italian Every Time
Recipe categories: Shrimp
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Total Time:
43 min
Prep
30 min
Cook
13 min
Yield:
6 servings
Level:
Easy
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Ingredients
2 pounds (12 to 15 per pound) shrimp in the shell
3 tablespoons good olive oil
2 tablespoons dry white wine
Kosher salt and freshly ground black pepper
12 tablespoons (1 1/2 sticks) unsalted butter, at room temperature
4 teaspoons minced garlic (4 cloves)
1/4 cup minced shallots
3 tablespoons minced fresh parsley leaves
1 teaspoon minced fresh rosemary leaves
1/4 teaspoon crushed red pepper flakes
1 teaspoon grated lemon zest
2 tablespoons freshly squeezed lemon juice
1 extra-large egg yolk
2/3 cup panko (Japanese dried bread flakes)
Lemon wedges, for serving
Directions
Preheat the oven to 425 degrees F.
Peel, devein, and butterfly the shrimp, leaving the tails on. Place the shrimp in a mixing bowl and toss gently with the olive oil, wine, 2 teaspoons salt, and 1 teaspoon pepper. Allow to sit at room temperature while you make the butter and garlic mixture.
In a small bowl, mash the softened butter with the garlic, shallots, parsley, rosemary, red pepper flakes, lemon zest, lemon juice, egg yolk, panko, 1/2 teaspoon salt, and 1/4 teaspoon of pepper until combined.
Starting from the outer edge of a 14-inch oval gratin dish, arrange the shrimp in a single layer cut side down with the tails curling up and towards the center of the dish. Pour the remaining marinade over the shrimp. Spread the butter mixture evenly over the shrimp. Bake for 10 to 12 minutes until hot and bubbly. If you like the top browned, place under a broiler for 1 minute. Serve with lemon wedges.
Read more at:
http://www.foodnetwork.com/recipes/ina-garten/baked-shrimp-scampi-recipe/index.html?oc=linkback