CZP's Moscow-based PR Director Anna Levitamskaya said the company chose FD from a three-way pitch involving two other London-based PR firms.
CZP's shares are expected to list on the London Stock Exchange and on Moscow's RTS Index by year end.
Levitamskaya said FD will handle PR and media relations to promote the float outside Russia.
The FD team will be led by account executive Jon Simmons, who reports to Levitamskaya.
CZP is one of a huge stream of Russian companies seeking fortunes in London's capital markets, joining the likes of Russian steel-pipe maker TMK, steel giant Severstal, power supplier OGK-5 and a range of other Russian corporate titans in diverse fields.
Valued at $800m-$1bn, CZP is Russia's biggest zinc supplier. It makes 56% of the country's zinc output and 95% of its zinc alloys.
The company's revenues jumped 225% to $224m in the first half of 2006, helped by soaring zinc prices.