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Zamug of Kish was the eighteenth Sumerian king in the First Dynasty of Kish, according to the Sumerian king list. His father was Barsal-nuna, whom he succeeded as ruler. His name does not appear in other documents than the SKL, meaning that it is unlikely that he was a historical person.
References
Thorkild Jacobsen, The Sumerian King List (Chicago: University of Chicago Press, 1939), pp. 82f
Marchesi, Gianni (2010). "The Sumerian King List and the Early History of Mesopotamia". M. G. Biga - M. Liverani (eds.), ana turri gimilli: Studi dedicati al Padre Werner R. Mayer, S. J., da amici e allievi (Vicino Oriente - Quaderno 5; Roma): 231–248.