Pat the pork chops dry with paper towels. Place the salt, coriander, mustard, and pepper in a small bowl and mix until evenly combined. Rub all of the spice mixture all over the pork chops, set aside.
Heat oil in a small saucepan over medium heat until shimmering. Add the shallot and cook, stirring occasionally, until softened, about 3 minutes. Season with salt.
Stir in the cherries, red wine, and vinegar. Cook until the cherries soften and the wine has reduced by half, about 10 minutes.
While the sauce reduces, begin cooking the pork chops. Heat oil in a large, cast-iron or oven-safe frying pan over medium-high heat until shimmering. Add the chops and cook, undisturbed, until the bottoms are golden brown, about 4 minutes.
Flip over and place the frying pan in the oven. Bake until the chops are golden brown on the second side and the juices run clear, about 7 to 10 minutes.