Preheat Broiler: Preheat your broiler to high.
Prepare Salmon Burgers: In a bowl, combine chopped salmon, breadcrumbs, green onions, soy sauce, sesame oil, ginger, garlic, beaten egg, salt, and pepper.
Form the mixture into 4 patties.
Place the patties on a baking sheet lined with parchment paper.
Make Sesame-Soy Glaze: In a small saucepan, combine soy sauce, honey, rice vinegar, sesame oil, and grated ginger.
Heat over medium heat until the mixture thickens slightly, stirring constantly.
Broil Salmon Patties: Brush the salmon patties with the sesame-soy glaze.
Place under the broiler for about 4-5 minutes per side, or until cooked through and slightly crispy on the edges.
Prepare Cucumber Salad: In a bowl, toss thinly sliced cucumber with rice vinegar, sugar, sesame seeds, and a pinch of salt. Set aside.
Assemble Burgers: Toast the burger buns under the broiler for 1-2 minutes.
Place a salmon patty on each bun.
Drizzle with additional sesame-soy glaze if desired.
Top with a generous portion of cucumber salad.
Serve: Serve the salmon burgers with extra glaze on the side.
Enjoy your delicious and flavorful salmon burgers!