Chop potatoes into quarters, so that the pieces are no larger than 1” wide. Add to a bowl and drizzle with 1 Tablespoon olive oil, 1 teaspoon of the Herbes de Provence, 1 teaspoon salt, and 1/4 teaspoon black pepper. Toss to coat.
1/2 pound baby potatoes, olive oil, 3 teaspoons Herbes de Provence, kosher salt and black pepper
Melt 1 Tablespoon of the butter in a large skillet over medium-high heat. (Choose a skillet with a lid!) As soon as the butter melts, add the potatoes and any seasoning left behind in the bowl to the skillet. Stir, then cover and cook for 10-12 minutes, stirring once or twice, until they are crispy and golden on the outside and tender on the inside.
2 Tablespoons butter
While the potatoes cook, prepare the chicken. Slice each breast lengthwise through the middle, so you have four thinner cutlets. (For the most tender chicken, you also can lay each cutlet flat on a cutting board, cover with plastic wrap, and pound a few times with the flat side of a meat mallet or a heavy-bottomed skillet.)
2 boneless, skinless chicken breasts
Season the chicken breasts on both sides with the remaining 2 teaspoons Herbes de Provence and a generous sprinkle of kosher salt and black pepper.
When the potatoes are done, scoop them out onto a plate, tent with foil, and set aside.
Add a drizzle of olive oil to the skillet, followed by the chicken breasts. Cook for 4-5 minutes on one side, until golden brown on the bottom, then flip chicken and re-cover the skillet. Continue to cook, checking frequently, until they are cooked through. (Chicken is done at 165°F on an instant read thermometer.) Transfer chicken to the plate with the potatoes and tent again with the foil.
In the same skillet, melt the remaining 1 Tablespoon butter. Stir in the garlic and cook for 30-45 seconds, just until fragrant. Whisk in the chicken broth and Dijon mustard, then bring the mixture to a low simmer. Stir in the cream, sample, and season with salt and pepper to taste. (It may not need much, or any, if the chicken was generously seasoned.) Simmer for another 1-2 minutes, until slightly thickened.
2-3 cloves garlic, 3/4 cup low-sodium chicken broth, 1 and 1/2 Tablespoons Dijon mustard, 1/4 cup heavy cream
Reduce heat to medium-low, then return the chicken and potatoes to the pan and spoon some of the sauce over top to warm. Keep over medium-low or low heat until ready to serve.