Peel skin off eggplant and cut into 1/2" thick slices. Place slices on a sheet pan and liberally salt both sides. Rest for 30 minutes to pull water out of eggplant.
Create three separate bowls for your eggplant. One with all purpose flour, beat the eggs in second bowl, and combine panko, crushed garlic, parmesan cheese, and parsley and a third bowl.
Rince eggplant under water and pat dry with paper towels.
Coat eggplant slices in all purpose flour. Tap the eggplant slice against the bowl to prevent clumps of flour from forming. Submerge the eggplant slice into the egg and remove. When the egg is no longer dripping from the eggplant, place into your panko mixture and coat thoroughly. Set on a sheet pan and repeat with remaining slices.
Heat peanut oil to 350 degrees. Cook 3 - 4 eggplant slices at a time to prevent oil from cooling. Check temperature of oil if needed. Cook 2 - 3 minutes on each side until browned. Remove to a sheet pan with a wire rack to drain excess oil.
Turn broiler on low. Top eggplant with mozzarella cheese and place under broiler until cheese begins to melt and brown on top. Watch carefully so your eggplant does not burn.