Season chicken cutlets on both sides with salt and pepper.
Heat olive oil in a large skillet over medium-high heat.
Add chicken to the skillet and sear for 5 to 7 minutes per side until golden brown and internal temperature reaches 165 degrees Fahrenheit. Remove chicken from skillet and tent with foil.
Reduce heat to medium and add minced garlic to the skillet, sautéing for 1 minute until fragrant.
Pour in chicken broth and lemon juice, using a spatula to deglaze the pan by scraping up browned bits.
Stir in the heavy cream and lemon zest. Bring to a gentle simmer for 3 to 5 minutes until the liquid reduces and thickens slightly.
Whisk in the butter and chopped cilantro until the butter is fully melted and integrated.
Return the chicken and any accumulated juices to the skillet, basting with the sauce for 1 minute before serving.