In a mixing bowl, combine the shredded chicken, chopped jalapeños, lime zest, lime juice, and fresh cilantro. Season with salt and pepper to taste. Mix until evenly combined.
Heat a large skillet over medium heat and add half the olive oil.
Place one tortilla in the skillet and spread half of the chicken mixture over one half of the tortilla. Top with half of the shredded cheese.
Fold the tortilla over to create a half-moon shape and cook for about 3-4 minutes per side, or until the tortilla is golden brown and the cheese has melted.
Remove the quesadilla from the skillet and keep warm by wrapping in a clean towel.
Repeat the process with the remaining ingredients to make a second quesadilla.
Once both quesadillas are cooked, cut them into wedges and serve warm with sour cream and guacamole on the side.
Notes
Arrange the quesadilla wedges on a platter and garnish with additional cilantro and lime wedges for a pop of color!