Cream the butter and sugar together until light and fluffy. Add the salt, cardamom, Meyer lemon zest, and Meyer lemon juice, then beat until incorporated.
Mix in ⅓ cup pistachios (reserve the rest for rolling), then add the flour and mix on low speed until just incorporated.
Wrap dough in plastic, then refrigerate for 1 hour or overnight.
Preheat the oven to 325 degrees and line two sheet pans with parchment.
Roll out dough to about ¼-inch thick (you want the cookies to be fairly thin), then use a round 3-inch cookie cutter to cut out as many cookies as you can. Transfer to sheet pans, leaving about ½ inch between cookies. Reroll and cut dough scraps until you've used it all up.
Bake cookies for about 15-20 minutes, rotating pans halfway throughout. Remove when they are light golden brown, then let cool completely.