Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.

In a large mixing bowl, beat the softened butter with both granulated and brown sugars until light and fluffy.

Mix in the egg, vanilla extract, and apple cider into your butter-sugar blend until thoroughly combined.

In a separate bowl, whisk together the flour, baking soda, cinnamon, nutmeg, and salt. Gradually add this to the wet ingredients, mixing just until combined.

Gently fold in the diced apples using a spatula.

Form the dough into balls and place them a few inches apart on the prepared baking sheet.

Bake the cookies for 10-12 minutes until the edges are golden brown and the centers remain soft.

Allow the cookies to cool on the tray for 5 minutes before transferring to a wire rack to cool completely.

Prepare the spiced glaze by whisking powdered sugar with a small amount of apple cider until smooth.

Once the cookies are cool, drizzle the glaze generously over the tops and serve.