Preheat oven to 400°F. Line a baking sheet with parchment paper or lightly dust with flour, set aside.
Place flour, cheese, salt, and butter in a food processor. Pulse until flour and butter are compeltely combined. Add cream and let food processor run until a dough forms (this may take a minute). If dough does not come together and is still crumbly, add more cream 1 teaspoon at a time until dough holds together but is not sticky. (I only needed 1 teaspoon more for my dough.)
Roll dough out on a lightly floured surface until ¼-inch thick or as thin as you want, adding flour as needed. Using a pizza cutter, cut out squares and transfer them to your prepared baking sheet. Alternately, you can cut out shapes with a cookie cutter and do the same thing.
IMPORTANT STEP: Using a fork, puncture the squares with a fork making holes into the top of your crackers or else air will get trapped and they will puff up!
Place in preheated oven and bake for about 12 minutes or until moderately browned. If the bottoms are browning a lot quicker than the tops, you make have to flip crackers over and bake for up to an additional 5 minutes. Once done, let them cool on the baking sheet for 5 minutes then transfer to a wire rack to finish cooling.
Serve warm or at room temperature. Will stay fresh for up to 3 days stored in an airtight container.