Preheat oven to 450 degrees F. Lightly coat a baking sheet with nonstick cooking spray. Rinse fish and pat dry; place on baking sheet. Season with salt and pepper. In a small bowl stir together panko and cheese; sprinkle on fish. Bake, uncovered, for 4 to 6 minutes per 1/2-inch thickness of fish or until crumbs are golden and fish flakes easily when tested with a fork.
Meanwhile, in a large skillet bring the water to boiling; add carrots. Reduce heat. Cook, covered, for 5 minutes. Uncover; cook for 2 minutes more. Add butter and ginger; toss. Serve fish and carrots with greens.