Make the Dough
In a small bowl, mix warm water, sugar, and yeast. Let sit 5–10 minutes until frothy.
In a large bowl, mix flour and salt. Make a well in the center and pour in the yeast mixture and olive oil. Stir to form a shaggy dough.
Turn the dough out and knead 8–10 minutes until smooth and elastic.
Transfer to a lightly oiled bowl, cover with a towel, and let rise in a warm place for 1–2 hours until doubled.
Shape and Rest
Punch down dough. Divide into portions and roll each into a sheet about ⅛ inch thick.
Cut into 2–3 inch squares or rectangles.
Place on a tray, cover, and let rest 30–45 minutes.
Fry the Gnocco Fritto
Heat avocado oil in a deep pan to 350°F.
Fry dough squares in batches, 1–2 minutes per side, until puffed and golden.
Remove with slotted spoon and drain on paper towels. Serve immediately.