Preheat the oven to 400 degrees F.
Put the ramen squares in a single layer covering the bottom of a 13-by-9-inch baking dish. Whisk together the cream cheese, milk and the 1 reserved flavor packet from the ramen in a medium bowl. Pour the mixture over the ramen. Scatter the chicken over the sauce and noodles and then scatter the broccoli. Sprinkle with Cheddar, making sure to distribute it evenly across the whole casserole.
Bake until the noodles are cooked through, the cream sauce is bubbly and the cheese melts, 30 to 35 minutes.
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