Preheat oven to 325.
In a large bowl, mix butter and sugar with a wooden spoon until pale and fluffy. Stir in vanilla, lemon zest, and salt. Add flour and cornmeal and mix until mixture is crumbly. Add zucchini and stir until a thick dough forms.
Drop dough by rounded tablespoons, 2 inches apart, onto two parchment-lined baking sheets. Bake until cookies are light golden brown at edges, 25 to 30 minutes, rotating sheets halfway through. Let cool completely on wire racks.
Bake
2010…2015, 2017, 2020, 2021