Cut the fingerling potatoes in half.
Heat olive oil in a cast iron or a pan over medium heat.
Add the potatoes, skin side down. Cook until they start to brown, which should be around 2-3 minutes.
Flip, and let the other side brown. This should take around 2-3 minutes as well.
Add the butter and garlic. Let everything cook together for another 2-3 minutes, making sure to stir frequently.
Add the chicken broth, heavy whipping cream, thyme, rosemary, sage, salt, and pepper. Combine.
Turn the heat to low and cook for an additional 10 minutes, stirring frequently.