Melt the butter in a saucepan over medium heat and simmer until well browned. Set aside to cool slightly.
Combine the browned butter, brown sugar, zest, cinnamon and salt in a bowl. Mix well to combine. Add the egg, milk and vanilla and continue mixing to incorporate fully.
Combine the dry ingredients in another bowl and mix well. Add half the dry ingredients to the wet and fold together. When fully blended, add the remaining dry ingredients. Stir in the apples.
Prepare a lightly greased baking sheet. Drop spoonfuls of the batter onto the pan allowing 1 to 1½ inches between. Bake in a preheated until the edges are golden brown and the centers firm, about 12 minutes.
While the cookies cool, combine the butter, brown sugar and cream in a small pan. Bring the mixture to a simmer and cook over medium heat for 2 minutes. Drizzle the mixture over the cookies.
Recipe by The Couple's Kitchen at https://thecoupleskitchen.com/oatmeal-apple-cookies-w-warm-caramel-drizzle/