If your fillets are thicker than one-half of an inch, for the best results and so they will cook evenly, the fillets should be cut into smaller pieces such as fingers, nuggets, or bites before frying. This recipe also works for grouper throats and grouper cheeks. These specialty cuts are considered a delicacy and are not as commonly available. Small whole grouper can also be fried, but they have to be prepared differently.