In the bowl of your mixer, combine the Instant yeast, warm water, and 1 teaspoon of sugar. Let it sit for about 5-10 minutes until foamy.
Meanwhile, melt 1/4 cup of butter and add it to the yeast mixture along with the egg and Greek yogurt. Mix on low speed until combined.
Gradually add 3 cups of flour and the salt to the wet ingredients while mixing on low speed with the dough hook attachment. Continue mixing until a soft dough forms. Adjust the flour as needed until the dough comes together and is slightly tacky but not overly sticky.
Knead the dough in the mixer for about 5-7 minutes, or until it becomes smooth and elastic. You can also knead it by hand on a lightly floured surface ( this may take longer).
Place the dough in a lightly greased bowl, cover it with a clean kitchen towel or plastic wrap, and let it rise in a warm, draft-free place for about 1-2 hours, or until it doubles in size.
Once the dough has risen, empty it onto a lightly floured surface and divide it into 8 equal portions. Roll each portion into a thin oval or round shape, about 1/4 inch thick.
Preheat a cast iron pan over medium-high heat. Once hot, place a piece of naan in the pan and cook for 1-2 minutes, or until bubbles form and the bottom is golden brown. Flip the naan and cook for an additional 1-2 minutes on the other side, until cooked through and lightly charred in spots. Repeat with the remaining dough.
In a microwave-safe bowl, melt the remaining 1/4 cup of butter. Add the garlic powder and fresh chopped parsley to the melted butter and stir to combine.
Brush each piece of cooked naan with the garlic-infused melted butter.
Garnish the naan with extra parsley.
Serve warm and enjoy your homemade naan bread with your favorite dishes!