To make the salsa, cut the kernels off the cob and place in a medium bowl. Stir in the other ingredients and set aside.
Quesadillas
Heat the oil in a large skillet over medium-high heat. Add the zucchini and onion and cook until the vegetables being to soften and brown, about 5 minutes. Stir in the salt and pepper. Turn off the heat.
Place one tortilla on a large plate. Spread the cheese evenly over it. Top with the warm vegetables and spread evenly. Place the second tortilla on top.
Return the same skillet used to cook the vegetables to medium-high heat. Slide the quesadilla into the skillet and cook for 1 to 2 minutes on each side, until browned.
Slide it onto a cutting board and cut into wedges. Serve warm topped with the corn salsa.