In a large skillet, heat the olive oil over medium heat. Add the chicken pieces, season with salt and pepper, and cook until browned and cooked through, about 5-7 minutes. Remove the chicken from the skillet and set aside.
In the same skillet, add the minced garlic and sauté for about 1 minute until fragrant.
Pour in the chicken broth and bring to a simmer, scraping up any browned bits from the bottom of the skillet.
Stir in the heavy cream, Asiago cheese, and Italian seasoning. Cook for 2-3 minutes until the cheese is melted and the sauce is creamy.
Add the gnocchi to the skillet and stir to coat in the sauce. Cook for about 3-4 minutes until the gnocchi are tender and heated through.
Stir in the fresh spinach and cooked chicken, cooking until the spinach is wilted, about 2 minutes.
Serve hot, garnished with chopped parsley.