Peel and slice parsnips. Cook in a covered pan in a small amount of boiling salted water till tender, 15-20 minutes; drain well.
In large saucepan blend brown sugar, cornstarch, and 3/4 teaspoon salt; stir in undrained pineapple, orange peel, and orange juice. Cook and stir till thickened and bubbly. Add butter; stir till melted. Add parsnips to sauce. Cover and simmer 5 minutes.