Preheat oven to 350°F (175°C). Lightly grease a 9×5-inch loaf pan.
In a bowl, beat 4 large eggs and 1 cup granulated sugar for 4–5 minutes until pale and fluffy.
Mix in ½ cup neutral oil , ½ cup Greek yogurt, the zest of 2 oranges, ⅓ cup freshly squeezed orange juice, 1½ teaspoon ground ginger, and 1 teaspoon freshly grated ginger.
Sift in 1¾ cups self-rising flour and ¼ teaspoon salt. Mix briefly until just combined.
Pour batter into the prepared loaf pan.
Bake the cake for 45–50 minutes, checking at 40 minutes. A toothpick should come out clean. Let cool completely before glazing.
Mix 1 cup powdered sugar with fresh orange juice until thick but pourable. Spread over cake and sprinkle with Extra orange zest for garnish.