'facing the potential of' is correct and can be used in written English.
It is typically used to indicate a potential threat or challenge, so it can be used in many contexts. For example, "We are now facing the potential of global food shortages if urgent action is not taken."
"Even if we weren't facing the potential of a lockout, you should be trying to save your money," said Aaron Smith, a defensive end for Pittsburgh who is finishing his 12th season.
"Right now," said Mr. White, the head of the American National Socialist Workers Party, "we're facing the potential of a half-black candidate financed by Jewish money going up against a white candidate financed by Jewish money, who are both advocating the same policy.
Democrats moved quickly to criticize Mr. Reynolds, who while overseeing House campaigns nationally is facing the potential of a serious challenge from Jack Davis, a wealthy businessman who has vowed to spend at least $2 million of his own money in the contest.
With trustees facing the potential of personal liability in the Attorney General's investigation, Broad told the board that he would give fifteen million dollars to rebuild the endowment, on the condition that the museum secure matching contributions, and another fifteen million over five years to continue its exhibition program.
The de facto head of Samsung, Jay Y . Lee is facing the potential of years behind bars after South Korean prosecutors said today that they intend to indict him on bribery charges, the Wall Street Journal reported.
"We are facing the potential of a huge humanitarian catastrophe..
The corporation may have headed off a strike over pay, but it still faces the potential of industrial action over widespread cuts to BBC News.
"If they don't take the bet, they face the potential of losses in the magnitude of 50% anyway".For Greece, the bargain is far less compelling.
The companies face the potential of triple damages that could run to billions of dollars if arguments by the plaintiffs' lawyers prevail in the case, which has been winding its way through the courts since the late 1990's.
You have the hard-cash impact, a lot of teams are going to face the potential of defaulting to their banks, and third, you have the long-term impact of what it does to the sport".
NBC officials might have been expected to speak forcefully, given that the network paid $775 million to broadcast the Sochi Games, and that its journalists face the potential of being prosecuted for addressing the issue of homosexuality.
