Shred or grate squash and potatoes and place in a colander, pressing down occasionally to remove liquid.
In a plastic or glass bowl, Beat together the remaining ingredients. It should be a thin batter.
Once most of the liquid has been pressed out of the vegetables, mix them into the batter.
Heat a skillet over med-high heat and add about 1/4 inch of oil.
Form rough ovals with your hands, squeezing some of the batter out and place in pan.
Press down with a spatula and cook about 4-5 minutes per side until brown and cooked through.
You may need to add a bit more oil for each batch.