Preheat oven to 425 degrees F. If using a pizza stone, place it in the oven.
Stretch the pizza dough into a 12-inch circle and place it on the pizza stone or a baking sheet.
Brush the dough with the olive oil and spread the mozzarella across the top. Then sprinkle with ¼ teaspoon salt, oregano, and garlic.
Bake in the oven for 10 minutes.
Meanwhile, combine the goat cheese, basil, and remaining ¼ teaspoon salt in a bowl. Stir till it is combined.
Remove the center stamen or pistil from the zucchini blossoms, then stuff each of them with a few small spoonfuls of the cheese mixture.
After the pizza has been baked for 10 minutes, add the zucchini flowers to the pizza and bake for an additional 5 minutes.
Remove and top with any optional fresh herbs and serve immediately.