The following is a recipe I have tried and tested on fellow shopping mates. They loved them and had seconds. They don't need to rise and they are not soft and chewy like regular doughnuts, but are tasty in a pinch, and FAST!
Lee

ITALIAN DOUGHNUTS
Source: Giada De Laurentiis, Episode#: SR0101
Yield: 18 doughnuts

1 pound prepared pizza dough
3/4 cup sugar
1 1/2 teaspoons ground cinnamon
Vegetable oil, for deep-frying
Olive oil, for deep-frying

Roll out the dough on a lightly floured surface to 1/2-inch thickness. Using a floured 2-inch cookie cutter, cut out doughnut rounds. Using a floured 1-inch cookie cutter, cut out a hole in the center of each doughnut. Gather the dough scraps and reroll. Cut out more doughnuts. Whisk the sugar and cinnamon in a medium bowl to blend. Set the cinnamon-sugar aside.

Pour equal parts of vegetable oil and olive oil into a large frying pan to reach a depth of 2 inches. Heat the oil over medium heat until a deep-fry thermometer registers 375 degrees F.

Working in batches, fry the doughnuts until they puff but are still pale, about 45 seconds per side. Using a slotted spoon, transfer the doughnuts to paper towels to drain. Cool slightly.

While the doughnuts are still warm, generously coat each 2 times with the cinnamon-sugar. Serve warm.

Alternately, cool the fried doughnuts to room temperature. Stir 3 ounces of milk chocolate and 1/4 cup of whipping cream in a heavy small saucepan over medium-low heat until the chocolate melts. Set aside until the chocolate sauce comes to room temperature but does not set. Dip 1 side of each doughnut into the chocolate mixture. Sprinkle with finely chopped toasted almonds or crushed espresso beans and set aside until the chocolate is set.