Wash, then slice zucchini into ¼-inch rounds; heat 1 tbsp oil in skillet over med-high, add to pan, season with salt/pep + sauté 3-4 min until tender

Heat 1 tbsp oil in a large skillet over high; cook burgers with salt/pep 3 min on one side; flip over, cook 2 min, then add 1 slice of cheese to each burger; cover pan + cook 1-2 more min until cooked through + cheese has melted

Toast 2 buns until warm + golden

Assemble burgers using 2 tbsp ketchup on each; divide between plates with side of zucchini