After cooking, you can store shrimp in the refrigerator for three to five days. In the freezer, shrimp can last a long time, between nine and twelve months. You can store the leftover shrimp in the refrigerator and add them to your salads and wraps later. The signs of going bad are sour smell, slimy texture, and faded color. Make sure to discard shrimp that shows these signs. Eating bad shrimp can cause shellfish poisoning, leading to severe nausea, vomiting, and diarrhea.