Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente, then drain and rinse with cold water to stop the cooking process.
Season the chicken breast evenly with half of the sea salt, black pepper, and dried oregano.
Heat a grill pan or cast-iron skillet over medium-high heat and cook the chicken for 5 to 6 minutes per side until the internal temperature reaches 165°F.
Transfer the chicken to a cutting board and let it rest for 5 minutes before slicing into bite-sized strips.
In a small glass jar or bowl, whisk together the extra virgin olive oil, lemon juice, lemon zest, and the remaining salt, pepper, and oregano until emulsified.
In a large mixing bowl, combine the cooked pasta, sliced chicken, halved cherry tomatoes, diced cucumber, and baby spinach.
Drizzle the lemon-herb dressing over the salad and toss gently to ensure every ingredient is well-coated.
Garnish with crumbled feta cheese and finely chopped fresh parsley before serving.