Heat the olive oil in a large skillet over medium-high heat. Add the chicken, season with salt, pepper, and herbs, and cook for 6-8 minutes until golden brown. Remove and set aside.
In the same skillet, sauté the minced garlic for about 30 seconds until fragrant.
Pour in the chicken broth and scrape up any browned bits from the bottom of the skillet.
Add the potato gnocchi to the skillet, bring to a gentle simmer, and cook for 3-4 minutes until softened.
Reduce heat to medium-low, pour in the heavy cream, and let it simmer for 2-3 minutes until the sauce thickens.
Add the cooked chicken back into the skillet along with the grated Parmesan cheese, stirring until the cheese melts and coats everything.
Taste and adjust seasoning as needed. Garnish with fresh basil leaves before serving.