Shrimp (cooked) — Food safety facts
Feed with care · Dogs · full breakdown on the linked food page
Plain, fully cooked, shelled shrimp is okay occasionally. Raw or shell-on shrimp are a choking and bacteria risk.
Short answer
Yes, plain, fully cooked, shelled shrimp can be given to a dog in small amounts. Make sure it is unseasoned and all shells are removed to avoid choking. Offer only a few pieces as an occasional treat, not a regular part of the diet. Watch for vomiting, diarrhea, or signs of an allergic reaction, and contact your vet if any of those appear.