Combine 2 tablespoons ground nuts and flour in a large zip-top plastic bag; set aside.
Cook pasta according to package directions, omitting salt and fat. Drain and place in a large bowl. Add remaining ground nuts, 5 teaspoons oil, 3/4 teaspoon salt, and 1/4 teaspoon pepper, tossing to coat. Heat a large nonstick skillet over medium heat. Add 1/2 teaspoon oil and garlic; cook 1 minute, stirring constantly. Add garlic mixture and chopped fresh parsley to pasta; toss to combine. Cover and keep warm.
Sprinkle chicken evenly with 1/4 teaspoon salt and 1/4 teaspoon pepper. Add chicken to zip-top plastic bag; shake to coat. Heat remaining 2 teaspoons oil in pan over medium-high heat. Add the chicken; cook 3 minutes on each side or until done. Serve chicken over pasta.