Preheat oven to 500 degrees Fahrenheit with a rack in the upper third of the oven.
Whisk water, sugar, oil and yeast in a liquid measuring cup or small bowl. Allow yeast to proof for 5 minutes. It should puff up some by then
Pulse flour, Parmesan, and salt in food processor until combined. While running the food processor, slowly pour in the water mixture and process until a shaggy ball forms, about 1 minute
Dump the dough onto a floured work surface and quickly knead dough a few times until it comes together. Halve the dough
On a floured surface, use a rolling pin to roll dough into two rounds about 11 inches in diameter. For best results, roll the dough out about as thin as reasonably possible. Aim for even thickness rather than a perfectly round shape
Transfer dough to a baking pan (my baking pan is non-stick, but if yours isn’t, you might want to lightly grease it with cooking spray)
Brush the outer 1-inch of the dough with a light coating of olive oil
Add drained, crushed tomatoes (crush the tomatoes over the sink to get out as much liquid as possible) or pizza sauce of your choice. Sprinkle with cheese and vegetables
Bake on the top rack until the crust and cheese are lightly golden, rotating halfway, about 10 minutes for cheese pizza and 12 minutes for pizza with additional toppings
Calories (kcal) 408
Protein (g) 40
Fat (g) 25
Carbohydrate (g) 94
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