The key is to prevent already-cooked shrimp from overcooking, which causes it to lose flavor and become chewy. Try to add the shrimp to your other ingredients only long enough to heat it through. For example, if your recipe calls for saut√©ing shrimp with ginger and garlic, cook the ginger and garlic first, then toss the cooked shrimp into the warm pan just long enough to heat it through. Keep in mind that large shrimp in a skillet go from raw to fully cooked in about 4 minutes‚Äîso an extra four minutes doubles the cooking time.
The better option, when you can find it, is to buy frozen peeled shrimp, which is now sold in many of the "big box" stores like Costco, BJs, and Sam's Club as well as many grocery stores, in 2-pound bags.