Place fish in a large zip-top bag. Add the honey and soy sauce. Seal and turn to coat. Marinate for 30 minutes or up to 2 hours. Drain and discard marinade.
Preheat broiler. Line a rimmed baking sheet with foil and coat foil with cooking spray. Place fish on foil. Broil 5 to 7 minutes per 1/2-inch thickness of fish, or until fish flakes easily with a fork.
Meanwhile, heat the oil in a large skillet over medium-high heat. Add zucchini. Cook about 3 minutes or until just tender; season with salt. Serve 4 fish fillets with the zucchini. Reserve 2 fish fillets.
Allow reserved fish to cool. Flake the fish into an air-tight container and freeze to use later in Teriyaki Salmon Cakes.