Combine the flour, lemon zest, sugar, baking powder, and salt in a food processor. Pulse for 30 seconds until everything is evenly combined.
Add the butter and pulse for 20-30 seconds until the butter is cut into small pea sized chunks.
Combine the cream and vanilla in small bowl.
Add the cream mixture to the food processor and combine for 30 seconds until you have a dough.
Remove the dough from the food processor and divide it into 9 equal portions, about 3 ounces each. Form each portion of dough into a biscuit about 3/4 inch thick.
Transfer the biscuits to a baking sheet lined with parchment and chill for 20 minutes in the fridge.
Preheat the oven to 425ºF.
Place the baking sheet into the oven and bake until the biscuits are medium golden brown, 18 to 20 minutes.