In a food processor, combine the crumbled feta cheese, Greek yogurt, fresh basil leaves, olive oil, lemon juice, garlic powder, salt, and pepper. Blend until smooth and creamy. Scrape down the sides as needed to ensure everything is well mixed.
Transfer the whipped feta to a serving bowl and set aside.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add the sliced zucchini to the skillet in a single layer. Cook for about 3-4 minutes on one side until golden brown, then flip and cook for an additional 2-3 minutes until tender. Season with salt and pepper to taste.
Arrange the pan-seared zucchini around the whipped feta or serve it on a platter. Garnish with additional fresh basil leaves.
Serve immediately or chill for 30 minutes for a refreshing appetizer.