IUPAC nomenclature for [Ni(CO)4] is Tetracarbonylnickel(0).
A single chemical compound can have several acceptable systematic names and the systematic method of naming organic chemical compounds is called IUPAC Nomenclature, but no two compounds can have the same.
To name a certain coordination compound we must follow the set of rules. The IUPAC nomenclature for coordination compounds defines a set of rules using which we can define the mane of the compound.
So as per the rules, the name of the given compound is Tetracarbonylnickel(0).