Do not preheat the oven since this is a *cold* oven pound cake. Just make sure the rack is in the lower third of the oven.Grease and flour an 8 1/2 by 4 1/2 inch metal loaf pan or line it with nonstick foil.In the bowl of a stand mixer, combine the lemon zest and sugar. Using the back of a spoon, mash the lemon around until the sugar is fragrant.
Add the softened butter a few chunks at a time. With the paddle attached, mix on medium low. Increase speed slightly and beat until creamy, scraping bowl often. Beat in the vanilla and salt. One by one, beat in the eggs, beating for 30 seconds after each egg and another full minute after all eggs are added..Beat in the baking powder.By hand, stir in the flour and milk, starting and ending with flour.
Pour batter into pan and sprinkle the cookie chunks over the top.Set pan in the cold oven. Turn heat to 325 degrees F. and bake for 70 minutes or until the cake appears set and a pick inserted in the center comes out clean.