Add the oil to a large skillet over medium-high heat.
Add the chicken to the pan and season with salt and pepper.
Cook the chicken all the way through, turning once. Cooking times will vary depending on the thickness of your chicken. Mine were thin, about 6-7 minutes per side. 10-12 for thick pieces.
Once the chicken is done, transfer the chicken to a plate and keep warm.
Put the garlic and broth into the pan and whisk for 1-2 minutes.
Whisk in the cream, mustard, and Italian seasoning. Cook and stir for 2 minutes. Turn it off as soon as it simmers.
Pour the sauce over the chicken and serve.