Preheat oven to 375 degrees F. Either line a large baking sheet with parchment paper, silpad, or lightly butter.
Using your mixer on low speed, combine cornstarch, sugar, egg, vanilla extract, and butter until well combined. Let the dough sit approximately 10 to 15 minutes before rolling into balls.
Roll the dough into 1-inch balls in the palm of your hand and place onto the prepared cookie sheet. Use the tines of a fork to make grooves on top of the cookies and to flatten them slightly.
You can also place the dough in a cookie press. Pack the dough into a cookie press fitted with desired template (disks can include wreath shapes, stars, crescents, etc). Begin cranking and twisting (if you use an automatic cookie press follow manufacturer's instructions) the cookie dough through cookie press, forming desired shapes, onto chilled ungreased cookie sheets about 1-inch apart.
Bake the cookies on the center rack of the oven for approximately 7 to 10 minutes depending on the size of your cookies. Remove from oven.
The cookies are very fragile when hot. Let them cool slightly before removing form the cookie sheet.
Yields 3 dozen cookies.
Biscoitos De Maizena - Cornstarch Cookie Recipe: https://whatscookingamerica.net/Cookie/Biscoitos-de-Maizena.htm