Pen's Nest

The verb "plug" is correct, but yeah, we use it different ways. You could just as easily say "He pulled the (electrical device's) plug out (of the wall/socket)." as "He unplugged it (OR the [device])."

The latter is generally less formal (obviously), so is actually more likely to be used in a Popslash story or anything where you're trying to match the narrative voice to a casual character.