In bread machine pan, place the first 7 ingredients in order suggested by manufacturer. Select dough setting (check dough after 5 minutes of mixing; add 1-2 tablespoons water or flour if needed).
In a small skillet, saute onion, mushrooms and peppers in oil until tender; cool.
When bread machine cycle is completed, turn dough onto a lightly floured surface; divide in half. Let rest for 5 minutes. Roll each portion into a 16x10-in. rectangle and spread with pizza sauce. Top with onion mixture, pepperoni, pizza cheese and olives. Roll up each rectangle jelly-roll style, starting with a long side; pinch seam to seal. Cut each into 12 pieces (discard end pieces).
Place pieces cut side down in 2 greased 10-in. cast-iron skillets or 9-in. round baking pans. Sprinkle with Parmesan cheese. Cover and let rise until doubled, about 30 minutes.
Bake at 375° until golden brown, 20-30 minutes. Serve warm.
