Preheat your oven to 375°F.
Cut the tops off the sourdough bread bowls and hollow out the insides, leaving about a half-inch border. Set aside the bread you remove for later use (like croutons).
In a large skillet, heat the olive oil over medium heat. Add the diced chicken and season with salt, pepper, and Italian seasoning. Cook until the chicken is browned and cooked through, about 5-7 minutes.
Add the minced garlic to the skillet and sauté for an additional 1-2 minutes until fragrant.
Reduce the heat to low and pour in the heavy cream, stirring to combine. Gradually add the Parmesan cheese, stirring until melted and the sauce is creamy.
Stir in the chopped spinach and cherry tomatoes, cooking just until the spinach wilts, about 2 minutes.
Spoon the creamy chicken Alfredo mixture into the hollowed-out bread bowls.
Place the filled bread bowls on a baking sheet and bake in the preheated oven for 10-15 minutes, until the bread is slightly crispy and the filling is heated through.
Remove from the oven and garnish with chopped parsley before serving.