The former president honored the former United Nations leader following Annan's death on Saturday.
The Nobel Peace Prize winner took the incident in stride.
Tributes have flooded in for the Ghanaian diplomat, who has been hailed as "a guiding force for good" and a "visionary."
The impending appointment of a new United Nations secretary general provides an excellent opportunity to address some of the shortcomings in current processes - but the Security Council may not be totally on board.
While in the U.S. this week, Suu Kyi is being applauded as a Nobel Peace Laureate and champion of the oppressed, her authority, mostly moral and political, but non-military, remains fragile at best. Without dedicated U.S. support for years to come, Myanmar stands to crumble as a patchwork of diversity and revert once more to authoritarian rule.
By all accounts, Barack Obama wants to bequeath to his successor a new secretary-general strong enough to stand up to any rogue national leader.