Zucchini Oven Omelet

Ingredients

• 2 cups chopped zucchini
• 1/4 cups chopped green pepper
• 1/4 cup vegetable oil
• 6 eggs, lightly beaten
• 2 tablespoons grated Parmesan cheese
• 1 tablespoon half-and-half cream
• 1 tablespoon butter, melted
• 1/2 teaspoon salt
• 1/8 teaspoon pepper
• 1/2 cup shredded cheddar cheese