Preheat oven to 400 degrees. In a large mixing bowl, combine sugar, butter, egg, salt, and vanilla. Beat at medium speed, scraping bowl often, until mixture is light and fluffy. about 2 to 3 minutes.
Add flour and grated semi-sweet chocolate. Beat at low speed, scraping bowl often, until well mixed, about 2 to 3 minutes. If dough is too soft, cover and refrigerate 30 to 45 minutes, or until firm enough to form cookies.
Place dough in cookie press and press onto ungreased cookie sheets. Bake 6 to 8 minutes or until edges are lightly browned.