Pat the thin chicken breasts dry with paper towel and season both sides evenly with the sea salt, black pepper, and garlic powder.
Heat a large skillet over medium-high heat until hot, then add the olive oil and heat until shimmering.
Add the seasoned chicken to the hot skillet and cook undisturbed 4–5 minutes until it releases easily and is browned, then flip and cook another 4–5 minutes until the internal temperature reaches 165°F (longer if pieces are thicker).
Remove the chicken to a plate and loosely tent with foil to keep warm while you make the sauce.
Reduce heat to medium and pour in 2/3 cup chicken broth, scraping the pan bottom to deglaze and incorporate browned bits.
Add the butter and let it melt; when it is just bubbling, stir in the minced garlic and cook about 1 minute until fragrant.
Whisk in the cream cheese until melted and smooth, adding additional chicken broth (up to 1 cup total) as needed to reach your desired sauce consistency.
Remove the pan from heat, stir in the lemon juice, taste, and adjust salt and pepper as desired.
Return the cooked chicken to the skillet and spoon the sauce over each piece to coat; warm briefly if needed and serve garnished with chopped parsley and lemon zest.