Heat the oven to 200 C / 400 F with a rack in the middle and line a 33 x 46 cm / 13 x 18 inch sheet pan with parchment. In a 3-quart / 2.8 L mixing bowl, combine the turkey, panko, Parmesan, egg, 3 tbsp pesto, garlic, salt and pepper. Mix with your hands for about 30 seconds, just until no streaks of egg or Parmesan remain.
Roll the mixture into about 20 meatballs, 30 g each (a heaped 2 tablespoons), and set them 3 cm / 1 inch apart on the sheet pan. Bake for 16 to 18 minutes, until browned on the bottom and an instant-read thermometer in the center of one reads 165 F / 74 C.
While the meatballs bake, pour the marinara into a 30 cm / 12-inch deep skillet and warm it over medium-low heat until barely bubbling. Move the baked meatballs into the sauce, cover and simmer for 8 minutes, turning them once, until the sauce clings to them.
Move the oven rack to the upper third and heat the broiler to high. Split the rolls, lay them cut side up on a second 33 x 46 cm / 13 x 18 inch sheet pan and brush with the olive oil. Broil for 1 to 2 minutes, until the edges are golden.
Spread the remaining 2 tbsp pesto over the toasted rolls. Fill each with 5 meatballs and a spoonful of sauce, then top each with 25 g mozzarella. Broil for 2 to 3 minutes, until the cheese bubbles and browns in spots, and serve within 10 minutes.