Cut the cabbage into 6-8 wedges depending on how large it is. Rub the cut sides of the cabbage with 3 tablespoon olive oil and season with salt and pepper.
Heat a large saute pan over medium heat. Place several of the cabbage wedges in the hot pan and cook until caramelized, about 6-8 minutes. Flip over the cabbage and caramelize the other side, another 6-8 minutes. Repeat with the remaining cabbage.
Meanwhile, make the mustard whiskey sauce. Heat 1 tablespoon oil in a medium saucepot over medium-high heat. Add the shallots and garlic and saute until aromatic, about 1 minute. Add the flour, stirring to coat. Add the whiskey and bring it to a boil. Simmer for 1 minute or until thickened.
Add the chicken stock, stone ground mustard, and honey to the pot. Bring to a boil, reduce heat to low and simmer for 5 minutes. Add the heavy cream and season the sauce with salt and pepper.
Ladle the sauce on a serving plate and place the charred cabbage on top. Sprinkle ½ cup parmesan on top and season with freshly cracked pepper. Serve immediately.