It’s no wonder that glass stovetops are popular alternatives to open electric burners: They’re much more visually pleasing and easier to clean. But if you plan on cooking with a cast-iron skillet, you may be in for a rude awakening. Iron is heavy, rough, and abrasive, and glass is susceptible to scratches, chips, or cracks from exactly those sorts of things. If you are concerned about handling something bulky and heavy due to arm injury or weakness and have a glass stove, be careful of the drop risk that comes with cast iron.
It certainly seems like a bad idea to put a heavy metal pan on a sheet of fragile glass, but it can be done carefully. Cast iron should be thoroughly cleaned to eliminate potentially burning stains onto the glass stove. To prevent scratching, never push or pull the skillet along the stove surface; always pick the cast up and place it down carefully when it needs to be moved.
Also keep in mind that compared to your standard gas stove, glass stoves are relatively slow to spread heat due to poor heat conduction (via Hunker). Considering how long it takes to get a cast-iron skillet to the proper temperature, you may been in for a long night of cooking.