Add butter and sugar to a bowl of a stand mixer. Mix on medium until creamy, about 2 minutes. Add egg and mix to combine. Scrape down the sides and mix to ensure it's all combined. Add molasses and mix on low to combine.
In a medium bowl, whisk flour, baking soda, salt, and spices together until combined. Add to butter-molasses mixture and mix on low until the dough forms. Using a tablespoon, scoop the dough and form balls. Place on a plate. They can touch, if necessary. Cover the balls in plastic wrap and chill until they firm up, about 1 hour.
Once chilled, preheat oven to 350 degrees. Line two baking sheets with parchment paper. Place balls of dough on baking sheets, about 1½ inches apart. They should fit on two 1/2-sheet pans, without issues. Bake in preheated oven until the tops start to crack, about 9-10 minutes.
Remove from oven and let the cookies cool completely before adding maple glaze.