Short answer
Yes, oregano can be found in some packaged human snacks, spice blends, or herbal supplements. In the tiny amounts used for flavoring, it's safe for dogs. Just check ingredient lists, and if your dog eats a large amount of something containing it, watch for an upset stomach and call your own vet if anything seems off.
Oregano — Food safety facts
Safe to share · Dogs · full breakdown on the linked food page
Safe in the small amounts used in cooking. Concentrated essential oil is not.
The full verdict, portion guidance and serving notes are collected on the Oregano food facts page.