Season the chicken breast evenly on both sides with sea salt, black pepper, and dried thyme.
Heat the olive oil in a large skillet over medium-high heat until it begins to shimmer.
Place the chicken in the skillet and sear for 6 to 7 minutes per side until golden brown and the internal temperature reaches 165 degrees Fahrenheit.
Remove the chicken from the pan and set it aside on a plate to rest.
In the same skillet, add the minced garlic and trimmed green beans, sautéing for 3 minutes until they are bright green.
Pour in the chicken broth to deglaze the pan, using a wooden spoon to scrape up any flavorful browned bits from the bottom.
Stir in the heavy cream and simmer for 2 minutes until the sauce reduces slightly into a velvety coating for the beans.
Return the chicken to the pan for 1 minute to warm through, then serve the chicken sliced over the creamy green beans.