Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper for easy cleanup.
In a large mixing bowl (or using a stand mixer), combine the lemon cake mix, flour, vegetable oil, eggs, fresh lemon zest, and almond extract. Mix on low speed for about 30 seconds, then scrape down the sides of the bowl. Continue mixing for another 30-60 seconds until everything is well combined and moist.
Scoop out rounded tablespoons of the dough and gently roll them into smooth balls. Place these cookie dough balls on your prepared baking sheet, leaving a little space between each. Bake for 8-10 minutes until the edges are lightly golden.
Let the warm cookies cool on the baking sheet for 3-5 minutes, then carefully transfer them to a wire rack to cool completely. This helps them firm up perfectly.
Once the cookies are fully cool, prepare your zesty glaze. In a small bowl, whisk together the powdered sugar and 2 tablespoons of fresh lemon juice. If the glaze is too thick, gradually add more lemon juice, a tablespoon at a time, until it's smooth and has a nice drizzling consistency.
Dip the tops of the cooled cookies into the lemon glaze, letting any excess drip off. Place them back on the wire rack to allow the glaze to set and harden to a beautiful, satiny finish. Once set, these delightful lemon cookies are ready to be savored!