Make sure your quinoa is cooked and cooled. Rinse 1 cup of quinoa under cold water, then combine it with 2 cups of water in a saucepan. Bring to a boil, then reduce heat, cover, and simmer for about 15 minutes or until water is absorbed. Set aside to cool.
While the quinoa is cooking, steam your broccoli florets until tender but still vibrant green, about 3-5 minutes. Let cool slightly before chopping into small pieces.
In a large mixing bowl, combine cooked quinoa, chopped broccoli, beaten eggs, panko breadcrumbs, shredded cheddar cheese, sliced green onions, minced garlic, kosher salt, and black pepper. Mix thoroughly until well incorporated.
Using your hands, scoop out portions of the mixture and form patties about 2-3 inches in diameter. Place formed fritters on a plate.
Heat a skillet over medium heat and add a drizzle of olive oil or spray with nonstick cooking spray. Place a few fritters in the skillet without overcrowding. Cook for about 4-5 minutes on one side until golden brown, then flip and cook an additional 4-5 minutes. Repeat with remaining fritters.
Transfer cooked fritters to a paper towel-lined plate to absorb excess oil. Serve warm with your favorite dipping sauce or enjoy as is!