Bring a large pot of salted water to a boil. Add the orzo and cook until al dente according to package directions. Drain in a colander and rinse under cold water to stop the cooking process.
While the orzo cools, whisk together the olive oil, lemon juice, dried oregano, minced garlic, salt, and black pepper in a small bowl to make the dressing.
In a large mixing bowl, combine the cooled orzo, artichoke hearts, Kalamata olives, cherry tomatoes, cucumber, and red onion.
Pour the dressing over the salad and toss gently until everything is evenly coated.
Sprinkle the crumbled feta cheese and chopped fresh parsley over the top just before serving.