Rinse the quinoa under cold water in a fine-mesh strainer.
In a saucepan, combine the rinsed quinoa and water. Bring to a boil, then reduce heat to low, cover, and simmer for about 15 minutes or until water is absorbed. Remove from heat and let sit, covered, for 5 minutes.
Fluff the quinoa with a fork and let it cool slightly.
In a large mixing bowl, combine the chickpeas, diced cucumber, diced bell pepper, chopped red onion, feta cheese, and parsley.
Once the quinoa is slightly cooled, add it to the mixing bowl with the vegetables and chickpeas.
In a small bowl, whisk together the olive oil, lemon juice, salt, and pepper.
Pour the dressing over the salad and toss gently to combine all ingredients.
Adjust salt and pepper to taste before serving.