Bring water to a boil in a large skillet; add salmon (skin side up). Return to a boil. Reduce heat, cover, and simmer 10 minutes or until fish flakes easily when tested with a fork. Remove fish with a slotted spoon and discard water; cool fish slightly. Remove and discard skin; break fish into large pieces.
Return pan to heat; melt butter over medium-high heat. Add asparagus; cook 6 minutes or until tender, stirring occasionally. Stir in rice, peas, and broth; cook 1 minute. Add salmon, parsley, and remaining ingredients; stir well to combine. Cook 2 minutes or until thoroughly heated.