Mix together the chia seeds and water and set aside in a small bowl. Leave this for 15 minutes. It should thicken up to form an "egg."
In the meantime, peel and shred the raw potatoes. You can use a box grater, a large hole hand grater or the grating attachment on the food processor. Then drain the excess moisture from the shredded potatoes using a cheesecloth or towel.
Once the chia egg is done, mix together all ingredients (chia egg, shredded potato, and all the other ingredients) into a large bowl.
Heat up a stovetop pan over medium-high heat. Pour some oil on the pan to allow the latkes to fry - more oil means it'll be more crispy, but you can add more as you see fit. I used about one spoon of oil on both sides of each latke.
Once the oil is hot, scoop up about two spoons of the mixture and form a pancake. Spread it out onto the pan and allow it to cook. Mine were a little more than 1/4 inch thick.
It takes a few minutes for each side to cook (could be 4-5 minutes per side, but you can check the color to see how brown it's getting and remove it when you think it's done). I had about 3 latkes at once on the pan, which saved time so I would flip them all over together once each side had cooked. I also had a paper towel on a plate, ready to put the hot latkes on when they were done. This helps drain the excess oil.
Once they are all done, turn off the stove and serve them with vegan sour cream/yogurt or applesauce, which is what they are traditionally served with.