Prepare the marinade by combining the minced garlic with 1/4 cup lemon juice, olive oil, oregano, salt, pepper, and a pinch of the lemon zest. Mix the ingredients until well combined.
Place the chicken breast in a plastic storage bag or container with 1/2 the marinade. Refrigerate for 30 minutes to marinade.
While the chicken is marinating, cook the pasta according to package instructions. Drain and set aside.
Heat a large skillet over medium heat and cook the chicken with the marinade for about 5 minutes on each side or until cooked through.
Make the pasta salad by combining the cooled pasta with the cooked chicken, sliced vegetables, feta cheese and toss with the remaining marinade. Serve immediately.