Start by grating the zucchini over a paper towel. This makes it easier to squeeze out all the water, which is key to preventing soggy poppers. Fold the towel around the zucchini and press gently to remove extra liquid.
In a large bowl, combine ground chicken, grated zucchini, garlic, chives, salt, and pepper. Mix just enough to combine, then form into small patties. Chill on a plate while preparing the sauce.
Add cilantro, mayonnaise, cottage cheese, vinegar, and salt to a food processor. Blend until smooth. If you don’t have a processor, finely chop the cilantro and whisk everything together. Chill to let flavors meld.
Heat olive oil in a nonstick skillet over medium-high heat. Add the chicken patties and cook for 4 minutes per side, or until golden brown and cooked through (internal temperature should be 165°F). For larger batches, keep cooked poppers warm in the oven.
Plate the poppers and serve with the creamy cilantro sauce. The combination is irresistible, and the sauce really makes the dish pop.