In a medium to large-sized skillet, heat a few Tbsp of olive oil or canola oil over medium heat for 30 seconds to 1 minute.
While the oil heats up, take a compiled quesadilla, and sprinkle the breadcrumb/cornmeal mixture around the edge of the quesadilla. It's ok if some of the mixture goes inside the quesadilla.
Repeat the breadcrumb sprinkling on as many quesadillas as you plan to fry at one time. I recommend sprinkling the breadcrumbs on the quesadillas just before frying, not during the quesadilla compilation process. The breadcrumbs are more likely to fall off the longer the quesadillas sit before frying.
Once the oil is hot, add 1-3 quesadillas to the skillet. Grill/fry the quesadillas over medium heat until the side in the pan turns golden brown, about 2-4 minutes.
Flip each quesadilla over, and grill the other side until golden brown, another 2-4 minutes.
Take the quesadillas out of the skillet, and put them on a paper towel-lined plate to remove excess oil.
Repeat the grilling process with all the quesadillas you’ve assembled.