Preheat the oven to 375 degrees F (190 degrees C).
Toast sliced almonds on a baking sheet in the preheated oven until golden brown, 5 to 7 minutes. Let cool 10 minutes.
Mix toasted almonds, napa cabbage, ramen noodles with seasoning packet, green onions, mayonnaise, sunflower seeds, and sesame seeds together in a large bowl. Refrigerate if not serving immediately.
Mix sugar, apple cider vinegar, olive oil, and soy sauce together in a separate bowl to make dressing. Pour over the salad just before serving.
