She will replace DJ Collins, who is leaving to set up his own agency with outgoing Clarence House comms secretary Paddy Harverson this summer.
Hazelbaker, currently senior director of corporate comms and public affairs at Google, will be moving to the UK to take on the role.
Since joining Google in January 2010, Hazelbaker's work has included restructuring the company's corporate team and handling comms for its research projects such as driverless cars, which are being tested on US roads.
Hazelbaker also has a strong background in US politics. As well as working with John McCain on his failed 2008 presidential bid, she also worked on Michael Bloomberg's successful 2009 bid to become New York mayor.
Google confirmed the move but declined to comment.
In a similar move, Clarence House, the official office of Prince Charles and the Duchess of Cornwall, last week hired Sony's Sally Osman to replace Harverson.
Osman's experience includes heading BBC comms when the corporation came under scrutiny for its reporting of the Iraq War dossier.
Edelman's UK CEO Ed Williams, a former BBC comms director, said Osman's style was 'diplomatic and firm', and came from 'the school of quiet, unvarnished advice-giving'.
He added: 'She has considerable combat hours gained at the BBC in issues management, which will stand her in good stead at Clarence House. The issues come thick and fast at the BBC, and that experience may well come in useful in this new role.'
The Prince of Wales' principal private secretary William Nye said: 'Sally has a formidable record of achievement in the public and private sector and an enviable reputation for straightforwardness and integrity. We very much look forward to working with her.'
Osman is currently director of corporate comms at Sony Europe and will take up the new role in June.