Preheat oven to 400F.
Prepear gnocchi according to gnocchi kit directions. Here is a good link with all the tips.
Add olive oil and garlic to a large, oven safe skillet. Heat over medium high heat.
Cook for 2-3 minutes, or until garlic is fragrant and soft.
Add in the cubed chicken and season with salt, pepper, and Italian seasoning.
Cook for 7-10 minutes, stirring often, until chicken is browned and cooked through. Remove chicken from skillet and set aside.
Using the same skillet, heat the butter over medium heat.
Use a wooden spoon to deglaze, scrape the bottom of the skillet.
Add cream and mix well.
Mix together the two cheeses, reserving ¾ cup of the mixture. Gradually add the cheese, all but the part you reserved, adding a little at a time and waiting until melted to add the next batch.
Stir in the cooked gnocchi, chicken, and frozen broccoli, stirring to completely coat in the sauce.
Top with the remaining cheese and then the breadcrumbs.
Bake for 25 minutes or until bubbly and melty.
Serve immediately topped with fresh basil.