Whisk together the eggs and pumpkin until smooth. Stir in the milk, salt, and parsley. Add the flour gradually, combining with a spatula or hands to form a stiff, dry dough. Turn out onto lightly floured surface, and briefly knead and press until dough is smooth.
Roll dough 1/4" - 1/2" thick and cut out with cookie cutter. Place shapes on cookie sheet (greasing is not necessary). You may press a fork pattern into the biscuit if you want.
Bake 20 minutes at 350°F Remove from oven, carefully turn the biscuits over, and return to oven for another 20 minutes. Remove and cool completely.