Costa launched the range last year in an effort to diversify its range and revenues, and iced drinks have become a vital battleground against competitors.
The ads, which carry the line 'Welcome to the Ice Age', launch on 1 July and will run across print, outdoor and online.
Marketing director Jim Slater said: 'There used to be a time when coffee chains approached the summer with real trepidation, as hot weather was seen as the scourge of coffee sales.'
He claimed that the chilled-drinks range had beaten rivals in taste tests, and that Costa was delighted with sales growth.
The campaign marks a departure for the brand, which has previously used ads to criticise rivals such as Starbucks.