Several materials have this property at very low temperatures. Some of them are elements, some are compounds. Do some reading on "superconductivity" for more information.
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The element that has the property of zero resistance is superconductors. Superconductors are materials that can conduct electricity without any resistance when they are cooled to very low temperatures.
Element oxidation state is a chemical property, as it is related to the number of electrons an atom gains, loses, or shares when forming chemical bonds with other atoms. It reflects an element's ability to undergo chemical reactions.
It depends on which element is being referred to.
intensive property
No, it depends upon quantity of matter so is extensive property.
If you mean zero electrical resistance for an electromagnet, this is possible with superconductivity. This can be achieved for certain materials at fairly low temperatures - typically a few kelvin.