Preheat oven to 425ºF.
Place a medium skillet over medium-high heat with 2 turns of the pan of EVOO, about 2 tablespoons. Add the onion and garlic to the pan, and sauté until the veggies are tender, 4-5 minutes.
Add the ham and spinach to the pan, season everything with salt and pepper, and cook to heat the ham and spinach through, 2-3 minutes. Remove the pan from the heat and let cool for a few minutes.
While the filling is cooling, spread the pizza doughs out onto the counter. Cut each in half widthwise and in thirds lengthwise, making 12 squares total (6 from each dough).