- In a medium saucepan, combine 6 cups of water with the salt and sugar. Bring the mixture to a rolling boil over medium-high heat. 
- Prepare a large bowl filled with ice water and place it near the sink for immediate use. 
- Carefully add the shrimp to the boiling water and allow them to cook for precisely 3½ minutes, or until they turn pink and opaque. It's normal if the water doesn’t return to a full boil after adding the shrimp. 
- Once cooked, drain the shrimp in a colander, then quickly transfer them to the ice water to stop the cooking. Let the shrimp cool for around 15 minutes. 
- Meanwhile, prepare the cocktail sauce by mixing the ketchup, horseradish, lemon juice, lemon zest, Worcestershire sauce, and hot sauce in a small bowl. Adjust the seasoning to your taste preference. 
- Peel the shrimp, leaving only the tails intact. Arrange the shrimp on a platter over crushed ice, if desired, and serve alongside the cocktail sauce. Enjoy!