Yes — cooked eggs are excellent.
Cooked eggs (scrambled or boiled, no butter or seasoning) are a complete protein source dogs digest easily. Raw eggs carry a small salmonella risk, so cook them.
Enjoy — this is a safe treat in sensible portions. Introduce any new food gradually and watch for individual sensitivities, just like with people.
Get the printable list of the 30 most dangerous foods for dogs.