In a bowl, mix together the flour, salt, and black pepper to create the flour mixture.
Use a sharp knife to cut boneless chicken breasts in half lengthwise for even thickness.
Heat oil in a large skillet over medium-high heat.
Dredge the chicken cutlets in the flour mixture, ensuring both sides of the chicken are evenly coated.
Pan fry the chicken for 4-5 minutes per side, or until it is golden brown and cooked through. Use a meat thermometer to check that the internal temperature reaches 165°F (75°C) for perfectly cooked, tender chicken breasts.
Transfer the cooked chicken to a plate and set aside.
Lower to medium heat and add garlic. Sauté for 1-2 minutes until fragrant.
Stir in flour (can use leftover flour from dredging the chicken) and cook for 1 minute, scraping up the browned bits from the bottom of the pan.
Pour in chicken broth and stir well. Then, add heavy cream and thyme.
Let the cream sauce simmer on low heat for 2-3 minutes, allowing it to thicken.
Return the juicy chicken breasts to the skillet, coating them in the creamy garlic sauce.
Simmer for 1-2 minutes until the flavors meld together.
Taste and adjust the seasoning with salt and black pepper as needed. For a finishing touch, sprinkle with dried or fresh parsley before serving, if desired.