Roll out pizza dough to about 1-inch thick. Sprinkle evenly with onions and herbs, fold into quarters and knead 3 to 4 times to evenly incorporate herbs. Reform the dough into a ball and place in a small bowl lightly coated with olive oil. Set aside to rest for 20 minutes. Meanwhile, in a small saucepan over low heat melt the butter with the garlic. Remove from heat and keep warm.
Heat a large cast iron grill pan or large skillet over medium heat. Roll dough out to about 1/8-inch thickness. Brush 1 side with olive oil and put oil side down on grill pan. Cook until golden, about 4 minutes. Brush the other side of the dough with oil, flip, and cook another 4 minutes. Remove from grill pan, brush 1 side with garlic butter and sprinkle evenly with salt. Cut into 2-inch strips and serve.