Shred potatoes in food processor and then put them back in with the blade and pulse a few times. Strain grated potatoes through a colander, pressing out excess water. Transfer to a medium bowl.
Process fennel with steel blade until chopped fine. Transfer to bowl with shredded potatoes.
Add eggs, flour, and seasoning; mix well.
Heat ½ cup oil in skillet. Line baking sheet with paper towels.
Place 1 large tablespoonful of batter at a time into hot sizzling oil and fry on one side until golden brown, about 5 minutes. Turn over and fry on other side 2 to 3 minutes. Remove from pan and place on paper towels to drain excess oil. Continue until all latkes are cooked.