Some fish markets sell squid that’s already been cleaned, but you’ll pay extra for it. If you want to save a little money, you can buy whole squid and clean them yourself.
Fresh squid should have a clean ocean scent, and it should look shiny and plump, not deflated. The body, or “hood,” of a whole squid is covered with a purplishgray membrane that’s edible but is sometimes removed for looks. Avoid frozen squid if it shows signs of freezer burn, such as excess ice crystals.