She said: "I think that the number of women fleeing from the Saudi administration and abuse will increase."
"I hope my story prompts a change to the laws, especially as it's been exposed to the world," she said. "This might be the agent for change."
Speaking to broadcast media for the first time on Monday from her new home in Toronto, she said more women will escape Mohammed bin Salman's regime, and hoped that her case could be a spark to ignite change.
"I'm sure that there will be a lot more women running away," she told Australia's ABC News. "I hope my story encourages other women to be brave and free."
al-Qunun became stranded in Bangkok airport while she tried to get a connecting flight to Australia, and barricaded herself in a hotel room to avoid deportation. She was given refugee status by the UN's High Commissioner for Refugees on January 9, allowing Canada to offer her asylum.
In the interview on Monday, al-Qunun said: "I think that the number of women fleeing from the Saudi administration and abuse will increase, especially since there is no system to stop them."
She said: "I hope my story prompts a change to the laws, especially as it's been exposed to the world."
"This might be the agent for change," she said.
al-Qunun will use her newfound freedom to campaign for women's rights in Saudi Arabia, ABC said.
Al-Qunun was critical of the system in the interview on Monday. When asked why she left, she said she wanted to be "free from oppression and depression," to "to marry the person I wanted," and to "get a job without permission."
She said: "The Saudi administration outlines a woman's life; what job she can hold, what work she can do. Women can't even travel on their own."
The risk involved in leaving Saudi Arabia is high, but worth it, al-Qunun told Canada's CBC news channel on Monday.
"It's something that is worth the risk I took," she said.
Rahaf al-Qunun now lives in Canada, after her asylum was granted, pictured here in a Twitter video documenting her journey.
On Monday, al-Qunun's relatives disowned her.
They said: "We disavow the so-called 'Rahaf al-Qunun' the mentally unstable daughter who has displayed insulting and disgraceful behavior," in a statement reported by Australia's ABC News.