Line a cookie sheet with parchment paper to hold the fritters or galani before frying them. Line another cookie sheet with paper towel on which to drain the fried fritters.
Whisk together softened butter, sugar, salt.
Add eggs, one at a time. It's all right if the mixture appears separated.
Stir in flour and form a soft dough.
Turn dough out onto a floured surface and knead for 1 or 2 minutes until dough is smooth.
To knead dough, fold it on itself, then firmly push it away from you with the heel of your palm. Keep repeating these steps.
When dough is smooth, roll it out to about 1/2-inch thick. Wrap it in plastic and allow it to rest at room temperature for about an hour.
Working with 1/3 of the dough at a time, roll it out and cut it into 1 and 1/2" x 3" rectangles. Flour your work surface and dough as necessary.
After cutting each piece, place it on parchment-lined cookie sheet.
Make a slash in the center about 1 and 1/2 inch long and thread one end back through it.
Fry two or three galani at a time in a large pan, such as a Dutch oven.
Constantly turn them over so that they color evenly. Remove them when they are light golden brown, and drain them off on paper towel.
Cool carnival fritters to room temperature and generously dust them with confectioners' sugar before serving.
This recipe makes about 50 small galani. Like most fried pastries, these carnival fritters are best the day they are made.