Place zucchini and 1 tsp. kosher salt in a large colander and mix well. Allow the zucchini to soak 10-15 minutes. Rinse with cold water and dry with paper towels, squeezing as much moisture out as possible.

Combine all ingredients except for yogurt and lemon zest in a bowl and stir until combined. Heat oil in a large nonstick skillet over medium heat. Drop the batter in spoonfuls into the oil and flatten them out a bit. Once the edges turn golden brown, flip and continue cooking until both sides are golden and crispy. Transfer to a paper towel-lined plate.

Stir together the yogurt and lemon zest. Add a pinch of salt. Serve with zucchini cakes.