Can I Give My Dog Cortizone-10?

Yes, with care
Topical hydrocortisone 1% (small areas) is commonly referenced for dogs at published doses. Published guidance for dogs: thin film on small hot-spot areas, every 12h, max a few days. Prevent licking (cone). If licking can't be prevented, skip, ingestion of topical steroids is its own problem. Spreading lesions = vet.
Source: Veterinary Partner (VIN)
Get the exact range for your dog's weight

Skip it or ask a vet first if

broken/infected skinlarge areasanimals that will lick the site

The safe habit

Confirm any medication decision with your veterinarian, who knows your dog's health history and other medications. VetDose shows published reference data, not prescriptions.