Prepare the marinade by combining the olive oil, lemon juice, zest, chives, crushed red pepper flakes, sea salt, and freshly cracked black pepper in a small bowl, and mix well.
Marinate the mozzarella balls in the well-mixed marinade. Set them aside at room temperature, stirring occasionally, for at least 1 hour.
Wrap each mozzarella ball with prosciutto by placing one ball on a strip of prosciutto and rolling it up. Seal with a toothpick and repeat.
Spoon the remaining marinade over the wrapped mozzarella balls, then place on a serving plate.