Place parsnips in a large saucepan and cover with water; add salt. Bring to a boil over medium-high heat. Reduce heat; cover and cook for 15-20 minutes or until tender.
Drain and place parsnips in a large bowl; mash. Stir in the onion, flour, egg and chives.
Heat 2 tablespoons oil in a large nonstick skillet over medium heat. Drop batter by 1/4 cupfuls into oil. Fry in batches until golden brown on both sides, using remaining oil as needed.