Preheat the oven to 350 degrees and spray an 8x8 baking dish with non-stick cooking spray.
Bring the 1 cup of chicken broth to a boil and add in the 1/2 cup of white rice.
Cover and lower the heat to low/medium and let simmer 15-20 minutes until softened and cooked through. Add a little bit more chicken broth is needed.
Once the rice is cooked through, let cool a few minutes and combine the cooked rice, shredded zucchini, shredded cheese, eggs and salt and pepper.
Pour the mixture into the baking dish and sprinkle with extra shredded cheddar cheese.
Bake 20-25 minutes or until heated through and the cheese is melted on top.