"This zone is to ensure security, peace, food and protection for the Rohingya people who are facing brutal persecution, and hence, stop them from flocking to Bangladesh", he said.
"We want to work with the governments of Myanmar and Bangladesh to prevent the humanitarian plight in the region", he told the opening session of an Organisation of Islamic Cooperation (OIC) summit in the Kazakh capital Astana.
Aside from Myanmar, although he didn't specify the countries by name, Zeid said the council should consider "the need to exclude from this body states involved in the most egregious violations of human rights".
In response, the military unleashed what it called "clearance operations" to root out the insurgents.
On Venezuela, Zeid called for an global independent investigation of possible rights violations, citing a report from his office last month that documented allegations of excessive use of force by security forces to quash protests against President Nicolas Maduro's government.
And now Myanmar's government has been accused of planting land mines along the border.
Bloody anti-Muslim rioting that erupted in 2012 in Rakhine state forced more than 100,000 Rohingya into displacement camps in Bangladesh, where many still live today.
Myanmar Violence a 'Textbook' Example of Ethnic Cleansing
While Burmese Buddhists in Myanmar also worship the Buddha, they follow a different religious tradition than Tibetans and do not recognize the Dalai Lama as their spiritual leader. As a result, they're effectively stateless.
But since the latest upsurge in violence on August 25, hundreds of thousands have flooded across the border into Bangladesh bringing stories of entire villages burned to the ground by Buddhist mobs and Myanmar troops.
The apex court had earlier asked the ASG to take instruction from the Centre about its response to the petition challenging the decision on various grounds, including that it violated global human right conventions.
"The Rohingya Muslims are being literally pushed into the seas, their houses burnt and demolished, their women being raped, their children, women and men butchered as part of an organized campaign of ethnic cleansing".
Azril said the Bangladesh government had, on September 8, taken a diplomatic initiative by proposing to Myanmar to create a safe zone inside Rakhine state under the surveillance of the United Nations (UN).
Some observers point out that the Rohingya issue is so heated in Myanmar that Suu Kyi would lose her popularity, and eventually possibly her position, if she backed the ethnic minority.
Sources note "widespread hatred" across the country for Rohingya Muslims, though nearly all members of the religious minority live in Myanmar's Rakhine State.
There are regular clashes between the Rohingya and the country's security forces, as well as other ethnic groups in Rakhine, which are predominantly Buddhist.