Place the halved baby potatoes in a large saucepan and cover with salted water. Bring to a boil and cook for 10–12 minutes, or until easily pierced with a fork. Drain well.
Meanwhile, melt the butter with the olive oil in a large skillet over medium heat.
Add the minced garlic and cook for 1–2 minutes, stirring frequently. Keep the heat moderate so the garlic becomes fragrant without browning too much.
Pour in the broth and heavy cream. Stir well and bring to a gentle simmer. Cook for 3–4 minutes until the sauce begins to thicken.
Reduce the heat and stir in the Parmesan, salt, black pepper, and Italian herbs. Continue stirring until the cheese has melted and the sauce is smooth.
Add the cooked potatoes to the skillet. Gently toss the Creamy Garlic Sauce Baby Potatoes until every piece is generously coated.
Cook for another 1–2 minutes over low heat, allowing the potatoes to absorb some of the garlic Parmesan sauce.
Remove from the heat, sprinkle generously with fresh parsley, and serve warm.