Beat softened butter at medium speed with an electric mixer until creamy; gradually add granulated sugar, beating well. Stir in chunky peanut butter until blended.
Combine flour and salt; gradually add to peanut butter mixture, beating until well blended.
Roll dough into 60 (1-inch) balls; place 1 inch apart on parchment paper-lined baking sheets.
Bake at 350° for 12 to 15 minutes. Cool on baking sheets on wire racks 5 minutes. Roll warm cookies in powdered sugar. Dust with white edible glitter, if desired.