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This question already has an answer here:

Well,if theoretically we say the value of a resistor is zero then will there be any heat dissipation across the resistor(because heat is produced only when there's a resistance to the flow of current.)If there's zero resistance then won't current simply go on flowing?

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marked as duplicate by John Rennie, user36790, Martin, Kyle Kanos, Norbert Schuch Dec 8 '15 at 11:19

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Yes, if the resistance is zero, voltage drop is null, and all the current the generator can provide flows in the conductor.

This happends for example in SQUIDs (superconductor devices with a circular form), where current has been measured flowing for several months continously because of the near-zero resistance of the device

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