Bring a large pot of salted water to a boil and cook gnocchi according to package instructions until they float; drain and set aside.
Season cubed chicken with salt, pepper, and dried oregano.
Heat olive oil in a large skillet over medium-high heat.
Add chicken to the skillet and cook until browned and internal temperature reaches 165°F (74°C), approximately 5-7 minutes.
Add minced garlic to the skillet and sauté for 60 seconds until fragrant.
Pour in chicken broth and heavy cream, using a spatula to deglaze the bottom of the pan.
Bring the liquid to a gentle simmer and stir in the parmesan cheese until the sauce thickens.
Add fresh baby spinach and stir until fully wilted.
Fold the cooked gnocchi into the cream sauce and toss to coat thoroughly.
Serve immediately, garnished with additional cheese if desired.