Combine first 7 ingredients in a small bowl. Add 1/4 teaspoon of black pepper, stirring until well blended.
Heat oil in a large nonstick skillet over medium heat. Add onion; cook 3 minutes, stirring occasionally. Add ginger mixture; cook 1 minute, stirring frequently. Add broth; bring to a boil. Reduce heat, and simmer 5 minutes. Add coconut milk and juice; simmer 2 minutes.
Sprinkle fish with remaining 1/4 teaspoon black pepper and salt. Add fish to pan; cook 8 minutes or until fish flakes easily when tested with a fork or until the desired degree of doneness. Garnish with the chopped fresh parsley, if desired.