The correct name for the ionic compound CoBr2 is cobalt(II) bromide.
In this compound, cobalt (Co) has a +2 oxidation state, which is indicated by the Roman numeral (II) in the name. The bromide ion (Br) has a -1 charge, and since there are two bromide ions to balance the +2 charge from cobalt, the correct name reflects the +2 oxidation state of cobalt.