Heat olive oil in a large skillet over medium-high heat. Add chicken pieces, season with salt, pepper, and herbs, and cook until golden brown and cooked through, about 6-8 minutes. Remove chicken and set aside.
In the same skillet, add minced garlic and sauté for about 30 seconds until fragrant.
Pour in chicken broth and scrape up browned bits from the bottom of the skillet.
Add potato gnocchi to the skillet and bring to a simmer. Cook for about 3-4 minutes until tender.
Reduce heat to medium-low, add heavy cream, and stir gently. Simmer for another 2-3 minutes until sauce thickens slightly.
Add cooked chicken and grated Parmesan cheese, stirring until combined and heated through.
Taste and adjust seasoning with salt and pepper if necessary.