In a food processor, combine almond flour, salt, baking soda, and cheese. Pulse in oil and eggs until well combined.
Divide dough into 2 pieces. Place 1 piece of dough between 2 sheets of parchment paper and roll to ¼ thick. Remove top layer of parchment paper. Use a goldfish cookie cutter to cut out little fish. Transfer goldfish to a parchment lined baking sheet.
Roll leftover dough and place in refrigerator while repeating process with second piece of dough.