Put oil in clean skillet and heat over medium heat until shimmering. Add ginger and cook, stirring constantly, until fragrant, about 15 seconds. Add hoisin sauce, orange juice, broth, and any juices from resting meat and bring to simmer, scraping bottom of skillet with wooden spoon to loosen browned bits. Simmer until liquid is reduced to 1 cup, 2 to 3 minutes. Stir in sesame oil and scallions. Adjust seasonings with salt and pepper, pour sauce over pork, and serve immediately.