Bring a large pot of water to a boil. Carefully add the napa cabbage leaves (making sure not to tear or rip the leaves) and cook for about 3-4 minutes until softened. Remove, gently pat dry with paper towel, and set aside.

Heat a large skillet over medium heat with 1 tablespoon olive oil. Add the ground chicken to the skillet, breaking it up, and cook until browned and no longer pink, about 2-3 mins. Add the garlic, ginger, and shallot and sauté until fragrant, about 1 min. Add the mushrooms and carrot and cook for 2–3 minutes until softened. Stir in soy sauce, oyster sauce, sesame oil, salt, and mix well.

Lay a napa cabbage leaf flat, trim a small portion of the thick stem on the bottom, spoon about 1 tablespoon of filling near the base, then roll it up like a burrito, folding in the sides and rolling tightly. Repeat with remaining leaves and filling.

Heat another large skillet with a tiny bit of olive oil over medium heat. Add the cabbage rolls and pan-fry for 2–3 minutes per side until lightly golden and warmed through. Cook in batches as needed.

In a small bowl, mix together all the sweet soy sauce ingredients until the sugar is dissolved.

Transfer the cabbage rolls to a serving plate, drizzle with the sweet soy sauce, and top with sesame seeds, chopped green onions, and chili oil. Serve immediately.