Preheat broiler to high. Heat 1 Tbs. oil in a 10-in. broiler-safe skillet over medium-high heat. Add zucchini and salt. Cook, stirring occasionally, until tender and lightly browned, about 6 minutes. Transfer zucchini to a medium bowl; wipe skillet clean. Heat 1/2 Tbs. oil in the skillet over medium. Crack 2 eggs into the skillet, and cook until whites are set and yolks are still runny, 4 to 5 minutes. Transfer eggs to a large plate. Repeat with remaining oil and eggs.
Arrange tortilla chips in the skillet; top with salsa verde and zucchini. Broil until heated through and chips are lightly toasted, 2 to 3 minutes. Top with half of the queso fresco, eggs, remaining queso fresco, cilantro, and radishes.
