Divide the 1 lb ground buffalo into 4 portions and form 4 flat patties as thin as you can. Season both sides with salt and fresh pepper.
Heat a large skillet over medium-high heat. When hot, lightly spray the pan with oil.
Add the 4 patties to the skillet and cook about 2 minutes per side, or until cooked to your liking. Remove the patties from the pan and set aside.
Wipe the skillet clean, return it to medium heat, and lightly spray with oil.
Place four of the small whole wheat tortillas in the skillet (or work one quesadilla at a time if your pan is small).
On each tortilla in the skillet, evenly sprinkle 2 tablespoons shredded cheese, then add 2 tablespoons pico de gallo.
Top each with one cooked buffalo patty.
Evenly distribute the remaining 2 tablespoons pico de gallo and 2 tablespoons shredded cheese over the patties (so each quesadilla has a total of 4 tbsp cheese and 4 tbsp pico).
Place a second tortilla on top of each assembled quesadilla. Cook until the bottom tortilla is golden and the cheese begins to melt, then carefully flip each quesadilla and cook the other side until golden and the cheese is fully melted.
Remove quesadillas from the skillet, cut each into wedges if desired, and serve.