Myanmar holds parliamentary polls in November, and even though Suu Kyi's National League for Democracy is expected to make significant gains she will not become president.
Under a military-drafted constitution the country cannot be led by anyone with foreign-born offspring. Suu Kyi's children were born in the UK to a British father.
But in a rare interview with local and international media, General Min Aung Hlaing said he had no issue with the formerly junta-run nation being led one day by a woman.
"We arrived here this stage because our mothers nurtured us," he said, adding that he had also appointed women to senior posts within the Tatmadaw (military).
"There are many women officers in our Tatmadaw as well now. We see they are also very capable."
Some 30 million voters are expected to head to the polls on November 8 for what observers hope will be the freest election in decades.
Myanmar languished for years under a brutal isolationist junta which crushed opposition and ruined the economy while enriching a coterie of senior military officers.
The November polls will be the first general election in a quarter of a century to be contested by the NLD.
But the army will continue to wield significant political influence even if the opposition sweeps the polls because 25 percent of seats in parliament will still be reserved for the military.
Observers say the army is deeply wedded to its perceived role as protector of the Myanmar constitution, which was drawn up under a former military regime that suppressed all dissent and kept Suu Kyi under lock and key for some 15 years.
The country's next leader will be chosen three months after the election. Three candidates will be put forward and voted on by the two houses of parliament and the military.
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