Preheat oven to 450 degrees F. Line a baking sheet with parchment paper or a silicone baking mat.
In a large bowl, combine flour, feta, parsley, dill, basil, green onions, lemon zest, baking powder, salt, baking soda and pepper.
Grate butter using the large holes of a box grater. Stir into the flour mixture.
Add buttermilk and stir using a rubber spatula until a soft dough forms.
Working on a lightly floured surface, knead the dough 3-4 times until it comes together. Using a rolling pin, roll the dough into a 1 1/4-inch thick rectangle. Cut out 10-12 rounds using a 2 1/2-inch biscuit or cookie cutter. Place biscuits onto the prepared baking sheet; place in the freezer for 15 minutes.
Remove biscuits from freezer. Place into oven and bake for 15-18 minutes, or until golden brown.