The Black Stars host Egypt in the opening leg of their play-off on October 15 to decide who will advance to the World Cup finals in Brazil next summer.
But the Ghana Football Association has written a letter to world football's governing body to request the second leg, currently scheduled to take place in Cairo, be moved to a neutral stadium.
"Our request is premised on the alarming and fast deteriorating security situation in Egypt," the letter read.
"Events in the country pointedly indicate that our delegation could be exposed to danger as the violence and insecurity in the country continues relentlessly."
The match is due to take place on November 19 but, with continuing protests against president Mohammed Morsi, Ghana are keen to ensure the safety of those involved in the match.
"As much as we sympathise with our brothers at the Egyptian Football Association, we are highly concerned about the security and safety of our players, officials and supporters and would like FIFA to take the necessary steps to protect lives and
from both Ghana and Egypt during the second-leg game," the letter continued.
Ghana reached the third round of qualification by topping Group D in the second phase with Egypt, managed by former United States coach Bob Bradley, winning all of their six group matches to ease through Group G.
The winners of the two-legged play-off will join four other African qualifiers in reaching the World Cup, with the likes of Ivory Coast, Senegal, Nigeria and Cameroon all still in the mix.