He will be based in Singapore, replacing Barend Janssens, who is going to retire on 10 June.
Corry will report to Stuart Rutledge, the head of wealth management for international markets.
The Asian business will be brought under the leadership of Rutledge, the firm said.
Corry is currently the vice president of strategic initiatives, change management and finance at RBC.
“I am confident that these changes will further strengthen our capabilities and allow us to take full advantage of the opportunities we see for serving high net worth and ultra high net worth clients in international markets,” said Doug Guzman, group head of the firm.
RBC Wealth Management has C$750 bn ($576 bn) of assets under administration, according to the firm.