Pat chops dry and season with salt and pepper. Brown in oil in a skillet over medium-high heat for 2 minutes per side in 2 batches, then transfer to a 6-quart slow cooker.
Whisk garlic, honey, soy sauce, vinegar, broth and ginger and pour over the chops. Cover and cook on low for 6 hours, checking after 5 hours, until fork-tender and at least 145°F, usually near 190°F for this blade cut.
Lift pork to a platter and rest for at least 3 minutes. Pour cooking liquid into a saucepan and skim the surface fat.
Simmer sauce for 5 to 8 minutes until reduced to about 1 cup. Mix cornstarch with cold water and whisk in for 1 to 2 minutes until the sauce coats a spoon.
Spoon a thin layer of glaze and softened garlic over each chop and serve the remaining measured sauce alongside.