Place a large skillet over medium-high heat and add the ground chicken.
Cook the chicken, breaking it into crumbles with a spatula, until no longer pink (approximately 7-9 minutes).
Drain any excess moisture or fat from the skillet.
Reduce heat to low and stir in the Alfredo sauce and garlic salt.
Simmer for 5 minutes, stirring occasionally, until the mixture is heated through and slightly thickened.
Stir in the shredded mozzarella cheese until melted and well combined.
Spoon the chicken mixture generously onto the toasted hamburger buns and serve immediately.