For The Chicken: Cut the chicken in half lengthwise. Mix together all of the ingredients for the marinade in a large bowl. Then add the chicken and place in the fridge and marinade for up to 4 hours.
For The Pickled Vegetables : In a saucepan add the water, vinegar, sugar, and soy sauce. Stir to dissolve the sugar. Bring mixture to a boil. Peel and shred the carrots and Daikon and chop the jalapeno. Place the vegetables and the pomegranate seeds in a bowl and then add the pickling liquid. Then place in the fridge uncovered for 2 hours. You can place each vegetable in its separate bowl and pickle them all separately
For The Aioli: Preheat the oven to 350°F. Trim the top ¼ inch off the top of the garlic bulb. Place the garlic cut-side up on a piece of foil, drizzle with olive oil, and sprinkle with salt. Tip: I like to use a small baking dish or ramekin to help the garlic sit cut-side up. Wrap the garlic in the foil and roast for 40 to 60 minutes or until the cloves are deeply golden brown and tender. Place in the fridge to cool down for 15 minutes. While the garlic is cooling down, mix the rest of the ingredients for the aioli. After the garlic is cooled down squeeze the garlic into the aioli and mix.
For the Caramel Sauce: Stir the sugar together with water in a medium-sized pot. Caramelize the sugar over medium-high heat until it is a lovely deep amber, swirling occasionally. When the sugar has reached the right color, slowly drizzle in the soy sauce. Be careful, it will sputter. Add in the orange juice, orange zest, lemon juice, lime juice, fish sauce, chipotle puree, ginger, garlic, honey, vinegar, and sesame oil, and bring back to a simmer, stirring occasionally to dissolve the caramel. Meanwhile, in a small cup, stir 3 tbsp cornstarch together with 1 tbsp water to form a liquid the texture of heavy cream (called a slurry). If you need to, you can add a few more drops of water to loosen it a bit. When the sauce is at a simmer, drizzle in the slurry while whisking the sauce. Simmer the sauce for a minute or two until it becomes glossy and thick. Remove from the heat and set aside.
Fry The Chicken: Heat up the oil in a pan or deep fryer, enough to be able to submerge the chicken. Bring it up to 350°F. In a bowl mix the potato starch and the corn starch. Put the chicken one at a time in the breading mixture and completely cover the chicken. After it is breaded, put in the hot oil to fry. Fry the chicken for about 6-7 minutes until golden brown and the internal temperature reaches 165°F. When the chicken is done put in a bowl and throw some of the citrus caramel sauce into it and toss to coat. Then throw some toasted sesame seeds.
Assembly: To put the sandwich together first toast the bun or sandwich roll. Spread the aioli on both sides of the bread. Then place the chicken and top with the pickled vegetables and pomegranate seeds and chopped cilantro. You can add even more of the aioli on top of the pickled vegetables if you want more.