4 boneless skinless chicken breast halves
1 teaspoon salt, divided
1/4 teaspoon plus 1/8 teaspoon pepper, divided
1/2 cup all-purpose flour
8 ounces uncooked angel hair pasta
3 tablespoons olive oil, divided
1/4 cup peeled and thinly sliced garlic cloves (about 12 cloves)
1 cup white wine or chicken broth
2 tablespoons lemon juice
1/2 cup grated Parmigiano-Reggiano cheese
Pound chicken breasts with a meat mallet to 1/4-in. thickness. Sprinkle with 1/2 teaspoon salt and 1/4 teaspoon pepper. Place flour in a shallow bowl. Dip chicken in flour to coat both sides; shake off excess.
Cook pasta according to package directions for al dente. Meanwhile, in a large skillet, heat 2 tablespoons oil over medium heat. Add chicken; cook 2-3 minutes on each side or until no longer pink. Remove and keep warm.
In same pan, heat remaining oil over medium heat; add garlic. Cook and stir 30-60 seconds or until garlic is lightly browned. Add wine to pan; increase heat to medium-high. Cook, stirring to loosen browned bits from pan, until liquid is reduced by half. Stir in lemon juice.
Drain pasta, reserving 1/2 cup pasta water; place in a large bowl. Add cheese, 1/3 cup parsley, half of the garlic mixture, and remaining salt and pepper; toss to combine, adding enough reserved pasta water to moisten pasta. Serve with chicken. Drizzle with remaining garlic mixture; sprinkle with remaining parsley.