No, you should never give Zinfandel or any other alcoholic beverage to your cat.
Wine is highly toxic to cats for several reasons. Here is why:
Alcohol Poisoning: The ethanol in wine acts as a central nervous system depressant in cats. Even small amounts can cause vomiting, diarrhea, lack of coordination, difficulty breathing, coma, or death.
Grape Toxicity: Grapes and raisins are known to be toxic to pets, potentially leading to acute kidney failure.
Small Body Size: Because of their small size, even a teaspoon or two of alcohol can cause severe, fatal damage to a cat's liver and brain.