Greene, who has held the top post at the Canadian mail service since 2005, is understood to have held talks with Royal Mail board members and ministers to fill outgoing chief executive Adam Crozier’s role.
Royal Mail would not comment on discussions held with Greene or that she is competing against three other individuals for the role.
Greene’s background makes her a prime candidate for the job as she led the privatisation of Canadian National Railway and the deregulation of Canada’s airline industry.
Should she be appointed, Greene would be handed the task of taking Royal Mail partially private, as outlined in the Queen’s Speech on Tuesday.
She would also become the first female chief executive at the British postal service, and it would be the first time Royal Mail has been led by someone from outside the country, it is thought. Proposals outlined yesterday for the Royal Mail are to sell 49 per cent of the service to private investors and employees. Post Office will remain in public ownership.
MOYA GREENE is no stranger to challenges.
Credited for her stringent cost cutting measures, Canada Post last year saw profits reach C$281m (£183m) from C$90m, despite a 5.1 per cent drop in revenues and an eight per cent fall in mail volumes.
Greene pulled profits back up again after knocking $639m off the balance sheet at the same time as Canada Post was faced with some of the worst conditions in its history.
But this was nothing to Greene, who fiercely led the privatisation of Canadian National Rail in the 1990s and the deregulation of the airline industry the decade before.
This vast experience is what makes her an attractive candidate to Royal Mail as Greene has held a number of roles within a slew of Canadian banks, including TD Securities and Canadian Imperial Bank of Commerce.