Cover cutting board with large sheet of parchment paper or plastic wrap. Place 4 medium boneless, skinless chicken breasts on cutting board and cover chicken with second sheet of parchment paper or plastic wrap.
Use meat tenderizer or rolling pin to pound chicken breasts until each is uniformly one-half-inch thick in all spots. Uncover chicken and discard parchment paper (or plastic wrap).
Liberally season each chicken breast with plenty of salt and freshly cracked black pepper on all sides, then sprinkle ⅛ teaspoon garlic powder onto each chicken breast. Flip chicken over and sprinkle ⅛ teaspoon garlic powder onto other side of each chicken breast. Set chicken aside.
Heat large skillet over medium heat. When pan is warm, add 2 tablespoons avocado oil and swirl or tilt pan to distribute oil evenly across surface. Continue heating pan until oil is hot and shimmery.
When oil is hot, place chicken breasts in skillet. Cook chicken 5 to 6 minutes or until golden brown, then flip chicken over. Cook 2 to 4 minutes more or until chicken reaches 160° Fahrenheit according to internal meat thermometer.
As chicken reaches desired temperature, transfer chicken breasts to large plate and set aside.
When all chicken breasts have been transferred to plate, add 2 tablespoons butter to skillet. Melt butter, swirling pan occasionally to distribute butter across skillet.
Once butter is melted, add 2 teaspoons minced garlic. Sauté garlic, stirring constantly, 30 to 60 seconds or until fragrant.
Pour ⅓ cup dry white wine into skillet to deglaze pan. Use spatula or wooden spoon to scrape up any browned bits stuck to bottom of skillet.
Stir in ⅓ cup chicken broth, then increase heat under skillet to medium-high. Bring liquid to gentle boil, then immediately reduce heat under skillet to medium-low. Simmer 2 to 3 minutes or until liquids have reduced by 50%.
Once reduced, remove skillet from heat and let liquid cool slightly. Add 4 ounces cream cheese and ⅓ cup heavy cream. Whisk vigorously until cream cheese has melted and mixture is smooth and slightly thickened.
Return skillet to heat. Add salt, freshly cracked black pepper, and ½-1 tablespoon fresh lemon juice. Stir gently to incorporate ingredients.
Once ingredients are incorporated and sauce is warmed through, remove skillet from heat. Return chicken breasts to skillet. Let chicken rest in sauce until warmed through, flipping chicken breasts in sauce occasionally to prevent sticking or burning.
Plate chicken breasts with mashed potatoes, pasta, or veggies as desired. Spoon plenty of sauce over tops of chicken breasts, then garnish with chopped parsley or chives and serve dish warm.