Preheat the oven to 450 degrees F. Lightly grease a large baking sheet and set aside.

Remove the dough from the bowl. On a lightly floured surface, knead briefly. Let rest for 10 minutes. Roll out into small rounds, about 6 inches each. Lightly brush each round with olive oil, leaving a 1/4-inch border. Bake until starting to turn light golden brown, about 6 minutes. Evenly cover each round with goat cheese and return to the oven until the crust is golden brown and slightly crisp and the cheese is melted, 2 to 4 minutes.

Remove from the oven and let cool slightly. Arrange salmon over pizza, top with arugula. Sprinkle with shallots, garnish with a small sprig of dill and serve immediately.