Preheat the oven to 350 degrees F.
In a large bowl or the bowl of a stand mixer, beat together the butter and sugars with an electric mixer on medium-high speed until well combined.
Add the vanilla and eggs and beat until combined.
Add the cinnamon, nutmeg, baking soda, baking powder, and salt, and mix until combined.
Add the oats to a food processor and pulse 4-5 times. You don't want them completely blended, just a little broken up.
Form the cookie dough into cookie dough balls and place on a parchment lined baking sheet.
Bake in a 350 degree oven for 10-12 minutes, until golden brown around the edges.
Let the cookies cool for 5 minutes and then transfer to a cooling rack to cool completely.
In a medium bowl, stir together the powdered sugar, cream, and vanilla extract.
Dip each cooled cookie into the vanilla glaze. Enjoy!