1.
Whisk together the garlic, ginger, soy sauce, 2 tablespoons brown sugar, 2 tablespoons rice vinegar, 1 1/2 teaspoons sesame oil, and 2 teaspoons chile sauce until evenly blended. Pour off 1/2 cup and set aside to use as a sauce later. Coat the pork slices with the remaining marinade, cover, and marinate in the refrigerator 2 hours.
2.
When you're ready to cook, make the Asian slaw by combining the cabbage, carrot, salt and 2 green onions in a mixing bowl. Add 1 tablespoon canola oil, 2 tablespoons rice vinegar, 1 tablespoon brown sugar, 1 1/2 teaspoons sesame oil, and 1 teaspoon chile sauce. Mix until evenly combined, then set aside for 15 minutes. After 15 minutes, toss the coleslaw again and spread out onto your serving platter.
3.
While the coleslaw is sitting, heat 2 tablespoons of canola oil in a heavy-bottomed 12-inch skillet over medium high heat until it is shimmering. Remove the pork from the marinade, shaking off the excess, and transfer the medallions to a clean plate. Discard the marinade. Add half of the medallions to the skillet, spacing them evenly. Cook them until well browned on one side, about 2 minutes. Flip them and cook them until the pork is just cooked through, about another 2 minutes.
4.
Set the cooked medallions over the slaw. Pour out any oil remaining in the skillet and wipe it with paper towels. Return the pan to the medium high heat, add the remaining 2 tablespoons of canola oil, and cook the remaining medallions in the same manner. Top the slaw with the pork and pour the remaining sauce over the medallions. Sprinkle with the remaining green onions. Serve immediately.