Chef John's Ham and Cheese Calzones

Preheat oven to 500 degrees F (260 degrees C). Line a baking sheet with parchment paper.

Divide dough into 4 equal portions; shape each into a ball. On a lightly floured surface, flatten each dough ball into a flat circle and roll out into an 8- or 9-inch circle.

Place 2 prosciutto slices on one half of each circle of dough, leaving a 1-inch empty border. Spoon ricotta cheese on prosciutto. Season with a pinch of salt, pepper, and cayenne pepper. Top with chopped ham, mozzarella slices, and a drizzle of olive oil.