Slice the ends off of both sides of the red onion and remove the outer skin. Slice the onion from stem to roof and put the slices into a mason jar.
Pour in water and fill the jar halfway. Fill the other half with white vinegar. Add a pinch of coarse kosher salt and sugar.
Heat a pan over medium heat and pour in the pickled onions. Bring them to a simmer or boil and then turn off the heat. Add them back to the mason jar.
Mix mayonnaise, hot sauce, cumin seeds, salt, and pepper in a bowl. Trim the chicken thighs and slice them to lie flat. Coat the chicken in the mayo mixture and refrigerate for at least 20 minutes.
Slice the tomatoes thinly. Heat a cast iron over medium-high heat and cook the chicken for 3-4 minutes on each side.
Toast the brioche buns. Assemble the sandwich by placing the chicken on the bottom bun, followed by the tomatoes, pickled onions, romaine lettuce, and sharp cheese. Top with the other half of the bun.
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