In a large skillet, heat the olive oil over medium heat. Once hot, add the finely chopped onion and sauté for about 3-4 minutes until translucent and fragrant. Add the minced garlic and cook for an additional 1-2 minutes, stirring frequently to prevent burning. Next, add the ground chicken, breaking it apart with a wooden spoon as it cooks; cook for approximately 5-7 minutes until no longer pink and fully cooked through.

Reduce the heat to low and pour in the heavy cream, stirring to combine with the chicken and onion mixture. Gradually add in the grated Parmesan cheese while stirring continuously until melted and creamy, which should take about 2-3 minutes. Sprinkle in the Italian seasoning along with salt and pepper to taste; stir until everything is well combined. If the sauce is too thick, add a splash of chicken broth or water to achieve desired consistency.

Prepare your hamburger buns by lightly toasting them either in a skillet or toaster until golden brown. Spoon generous amounts of the chicken Alfredo mixture onto the bottom half of each bun, ensuring each one gets enough sauce and meat filling. Top each bun with its matching half; if desired, sprinkle additional Parmesan cheese on top for extra flavor.

Serve your assembled Chicken Alfredo Sloppy Joes on a platter garnished with freshly chopped parsley for an appealing presentation. These sandwiches pair wonderfully with crispy fries, fresh salads, or steamed vegetables.