Wear safety goggles and gloves. Line a chisel up at the area where the metal wiring is exposed in your floor or wall.
Tap the chisel with a hammer to loosen any concrete that's holding the metal wire in place.
Chip away at the surrounding concrete until the metal wire is fully exposed, or until the area that you wish to remove the wire from is exposed.
Pull up on the wire to free it from the concrete. If the wire can pull away completely from the concrete, then you can pull it off to remove it.
Cut away the metal wire with metal cutting shears, then pull it away from the area.