Slice the zucchini in strips lengthwise with a mandolin.
Place zucchini slices in a strainer and salt and let them sit for 30 minutes.
Dry the zucchini slices with paper towels (I place them between 2 paper towels and pat)
Place the strips of zucchini in the shape of a cross and place a cube of feta in the middle.
Fold over starting with the bottom slice, alternating the strips, until it is all folded. Secure with a toothpick (do not let toothpick come out on the other side too much).
Dip fritter in egg and then in the flour - dusting off the extra flour and set aside.
Pour olive oil in a pan about ¼ inch deep, heat the olive oil at high heat.
Place the zucchini bundles with the toothpick in the pan and let them fry for about 1-2 minutes.
Remove the toothpick carefully, while in the pan and turn the bundles over and fry for another 1- 2 minutes.
Remove zucchini fritters from pan and place on a plate with a couple of paper towels to absorb the oil.
Serve right away