Begin by adding the water to a bowl or jug along with the sugar and yeast. Whisk together to combine. Cover and allow to sit in a warm spot for 5 minutes. The mixture will froth on the top. If it doesn’t froth the yeast is not usable and the pita will not be fluffy.
To a large mixing bowl, add the bread flour and salt, mix to combine. This recipe can be made by hand, see notes.
Pour the wet ingredients including the oil into the dry ingredients and knead for 10 minutes using the dough hook on a stand mixer.The dough will be smooth. Cover with plastic wrap and allow to sit in a warm spot for 1 hour to rise. It will double in size.
Once risen, punch the air out of the dough. Dust your workbench with flour and knead your dough for a minute or two until smooth. Divide into 8 pieces and knead into little balls. You could weigh the dough before divide it to get even sized pieces but it’s very un-Greek.
Use a rolling pin to roll out to 8-inch sized round pieces.
Place a large skillet on high heat. Once hot, drizzle with a little olive oil and place the pita on top. Once bubbles form and the little leopard spots appear, turn over and repeat. Cook all 8 pieces and serve warm. Cold is just fine too!