01 - Sprinkle chicken breasts on both sides with kosher salt, black pepper, and thyme.
02 - In a large skillet over medium-high heat, warm olive oil. Sear chicken for 3 to 4 minutes per side until golden. Transfer chicken to a plate and set aside.
03 - Reduce the skillet heat to medium. Melt butter, add the sliced onions and sugar. Cook, stirring frequently, until onions are deeply caramelized and golden, approximately 15 to 20 minutes.
04 - Stir in minced garlic and cook for 1 minute until fragrant.
05 - Pour in white wine or chicken broth, scraping up the browned bits from the skillet bottom. Simmer for 2 to 3 minutes to reduce slightly.
06 - Add beef broth and Worcestershire sauce. Return chicken breasts to the skillet, nestling them in the onions and sauce.
07 - Cover skillet and simmer on low for 10 to 12 minutes, until chicken is fully cooked with an internal temperature of 165°F.
08 - Uncover and evenly sprinkle Gruyère cheese over the chicken. Cover again and cook for 2 to 3 minutes until the cheese is melted.
09 - Finish with fresh chopped parsley if desired and serve immediately while hot.