Heat the olive oil in a large skillet over medium-high heat. Add the chicken pieces, season with salt, pepper, and dried Italian herbs, and cook for 6-8 minutes until golden brown. Remove chicken and set aside.
In the same skillet, add the minced garlic and sauté for about 30 seconds until fragrant.
Pour in the chicken broth and scrape up any browned bits from the skillet. Bring to a gentle simmer.
Add the potato gnocchi to the simmering broth and cook for 3-4 minutes until tender.
Reduce heat to medium-low and stir in the heavy cream. Simmer for another 2-3 minutes until the sauce thickens.
Return the cooked chicken and grated Parmesan cheese to the skillet. Stir until the cheese melts and coats the chicken and gnocchi.
Taste and adjust seasoning with salt and pepper as needed.