Slice the eggplants in half lengthwise, then cut them into half-moon shapes. Peel them in stripes and sprinkle with salt. Let sit for 30 minutes.
In a large skillet, heat olive oil over medium heat. Add the chopped onion and sauté until translucent. Add minced garlic and cook for an additional minute.
Rinse the salted eggplant slices under cold water and pat dry. Add them to the skillet and cook until golden brown and tender, about 8-10 minutes.
Add canned chopped tomatoes, tomato paste, boiled chickpeas, sugar, water, black pepper, and salt to the skillet. Stir to combine and bring to a gentle simmer. Cook uncovered for 15-20 minutes.
Transfer the mixture into a serving dish, spreading it evenly to distribute the eggplant and chickpeas.
Serve warm, at room temperature, or cold, alongside crusty bread or a fresh salad.