Bring water to a boil in a large skillet. Add salmon fillets, skin side up. Return to a boil. Reduce heat, cover, and simmer 10 minutes or until fish flakes easily with a fork. Remove fish with a slotted spoon and dispose of water. Cool fish slightly. Remove and discard skin. Break fish into large pieces.
Return pan to medium-high heat. Melt butter. Add asparagus and cook 6 minutes or until tender, stirring occasionally. Stir in rice, peas, and broth. Cook 1 minute to heat through. Add salmon, parsley, and remaining ingredients. Stir well to combine. Cook 2 minutes. Serve with lemon wedges.