In a medium bowl, whisk together the flour, salt, and baking soda. Set aside.
In a large mixing bowl, cream the softened butter and granulated sugar with an electric mixer until light and fluffy, about 2–3 minutes.
Add the egg and vanilla extract. Mix until combined, scraping down the sides of the bowl as needed.
Add the dry ingredients and mix on low speed just until the flour is incorporated. Stir in the mini chocolate chips.
Divide the dough into portions and shape each into a log approximately 1½–2 inches in diameter. Wrap tightly in plastic wrap or parchment paper and refrigerate for about 30 minutes, or until firm enough to slice cleanly.
Preheat the oven to 350°F. Line baking sheets with parchment paper.
Use a sharp knife to slice the chilled dough into rounds approximately ½ inch thick. Arrange the slices on the prepared baking sheets, leaving about 2 inches between cookies to allow for spreading.
Bake for 13–15 minutes, or until the cookies are golden brown, including the centers. Baking time may vary slightly depending on the size of your cookies.
Let the cookies cool on the baking sheet for about 5 minutes, then transfer them to a wire rack to cool completely. The cookies will become crispier as they cool.