Heat broiler. Cook the rice according to the package directions.
Meanwhile, in a small bowl, combine the parsley, chives, dill, and lemon zest. Set aside.
Coat the salmon fillets with the oil and season with ½ teaspoon salt and ¼ teaspoon pepper. Broil 10 to 12 minutes, until just cooked through.
Fluff the rice with a fork and mix in the ginger and scallions. Top each salmon fillet with the herb mixture and serve with the rice.