Cream together butter and sugar. Add in egg and flavoring, and mix until smooth.
Add salt and flour, stir in until incorporated.
Knead together and put in a gallon plastic bag or wrap in plastic wrap. Chill for about three hours or overnight.
For Cut-Outs: Take out of the fridge and break into three sections. Knead section lightly and then roll out, making sure your rolling pin, board and cookie cutters are generously dusted with powdered sugar.
For Refrigerator Cookies: Roll into a roll before chilling. Slice in ¼ inch slices.
Bake cookies in a 375-degree oven for 10-12 minutes, depending on the thickness of cookies.