Prepare the quinoa according to the package's directions. While the quinoa cooks, prepare the salad by adding the chickpeas, cucumber, red bell pepper, red onion, and parsley in a large bowl.
Once cooked, pour the quinoa on a sheet pan lined with parchment paper and put it in the refrigerator to cool for 15 minutes.
While the quinoa cools, make the dressing by combining the olive oil, lemon juice, garlic, dried oregano, salt, and pepper in a liquid measuring cup or small bowl. Set it aside.
Once the quinoa has cooled, add it to the bowl with the rest of the salad ingredients and pour the dressing over everything. Toss to incorporate the dressing. It can be served immediately, or kept in an air-tight container and refrigerated for up to 4 days.