As well as managing the agency's creative department, he will oversee campaigns for brands including Panasonic and Opel. He replaces Mark Chalmers, who left in the spring.
A former creative chief of Wieden & Kennedy in Amsterdam, Gorodecky's agency career includes spells at TBWA, M&C Saatchi and Young & Rubicam.
Brian Elliott, the StrawberryFrog chief executive, said: "Richard's unconventional background and first-hand experience of the digital revolution will be a huge benefit."