Heat olive oil in a large skillet over medium-high heat.
Season chicken with salt, pepper, and oregano, then sear until golden and cooked through (approximately 5-7 minutes). Remove chicken from the pan and set aside.
In the same skillet, add minced garlic and sauté for 1 minute until fragrant.
Pour in chicken broth and heavy cream, scraping the bottom of the pan to deglaze.
Add the gnocchi directly into the liquid. Simmer for 5-6 minutes, stirring occasionally, until the gnocchi are tender and the sauce has thickened.
Stir in the baby spinach and parmesan cheese until the spinach is wilted and the cheese is fully incorporated.
Return the cooked chicken to the skillet, toss to coat thoroughly with the sauce, and serve immediately.