In trading options in the OTC interbank market, dealers express their quotes and execute their deals in terms of implied volatility.
It is the metric, or measuring rod dealers think and trade in terms of implied volatilities and make their predictions in that framework, rather than in terms of options prices expressed in units of a currency (which can change for reasons other than volatility changes e.g., interest rates).
It is easier to compare the prices of different options, or compare changes in market prices of an option over time, by focusing on implied volatility and quoting prices in terms of volatility. (For similar reasons, traders in outright forwards deal in terms of discounts and premiums from spot, rather than in terms of actual forward exchange rates.)
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