Place the water, olive oil, and salt in the bread machine. Add the flour, sugar, yeast, garlic powder, and Italian seasoning.
Select the dough cycle, and process according to the manufacturer’s instructions. When the timer for addition goes off, add the parmesan and continue to process.
When the dough cycle is complete, transfer the dough into two equal pieces. Form each half into a 8-inch log, and then cut into 8 1-inch pieces.
Form each piece into a dough ball, and place on a counter. Drag in circles until you have formed round balls.
Cover with greased plastic, and let rest for 30 minutes.
Spray two baking sheets with cooking spray.
Roll each piece into 8-inch cylinders and place the cylinders on the baking sheets, about 1 ½ inches apart.
Preheat the oven to 475 °F. Cover, and let rise for 30 minutes, or until almost doubled in size.
Brush the dough with the egg. Mix the parmesan, Italian seasoning, and sea salt in a small bowl and sprinkle on top.
Bake for 14 to 16 minutes, until golden brown.
Let cool on a wire rack for 15 minutes.