Line a cookie sheet with parchment paper. Set aside.
Combine cookie ingredients in a mixing bowl and mix until well combined. Use a cookie scoop to scoop dough onto cookie sheets. Bake for 10-12 minutes, until cookies begin to lightly brown on top.
Remove from oven and let cookies sit on the tray for about 5 minutes. When the cookies come out of the oven they're still pretty soft and puffed up. They'll continue to cook a little more on the sheet, and as they cool down, they'll flatten up more. Transfer to a cooling rack to cool cookies completely.
In a small bowl, whisk all the glaze ingredients until smooth. Spoon about 1 tsp onto the top of each cookie. Gently spread around. Allow to set for 10-15 minutes.
These Strawberry Cool Whip Cookies are so soft and delicious, they are sure to be a big hit with your family!