Chicken with Lemon Sauce

So easy, so fantastic, and if you're good, a One Arm Wonder. (my term for meals that can be made whilst holding a baby.)
This recipe is presented for 2, but I double it, do what you need to.
You will love it. Allot.

Chicken with Lemon Sauce
2 boneless skinless chicken breast halves
5 Tbsp. all-purpose flour divided
1/4 c. grated Parmesan cheese
3/4 tsp. salt divided
1/2 tsp. pepper divided
2 eggs
2 Tbsp. butter divided
1 Tbsp. olive oil
3/4 c. chicken broth
1/2 c. apple juice
1 Tbsp. lemon juice
1 Tbsp. minced fresh parsley

Flatten chicken to 1/4" thickness. (Yeah, I never do this, so suit yourself. unnecessary step in my opinion.)
In a shallow bowl, combine 4 Tbsp. flour, Parmesan cheese, 1/2 tsp. salt, and 1/4 tsp. pepper. In another bowl, beat eggs. Dip chicken in eggs, the coat with flour mixture. In a large skillet, cook chicken in 1 Tbsp. butter, an the oil over medium heat until juices run clear, turning as necessary.
Remove and keep warm.
In a small bowl, combine the remaining flour, salt and pepper; stir in broth until smooth. Add apple juice to skillet, stirring to loosten any browned bits. Stir broth mixture and add to pan. Bring to a boil;cook and stir for 1-2 minutes or until thickened and bubbly. Stir in lemon juice, cook for 1 minute. Add parsley and remaining butter; cook and stir until butter is melted. Serve over chicken.
Serves:2