"has considerable sway" is a correct and usable phrase in written English.
It can be used to indicate that a person has a great degree of influence or power, particularly over a specific group or area. For example: "The mayor has considerable sway over the city council, and can usually secure their support for her initiatives."
Mr. Gates enjoys bipartisan support on Capitol Hill and has considerable sway within the administration.
Despite the losses, the Senate hearing last week underscored how Mr. Dimon still has considerable sway in Washington.
In Indonesia, where Facebook is so popular that some people confuse it with the broader internet, the service has considerable sway.
But if, as now, they are controlled by different parties, the prime minister has considerable sway, for instance over the economy.
Kollitides is also a trustee of the NRA Foundation to which Freedom Group has made more than $1m in donations and holds a place on the NRA nominating committee, which has considerable sway over who can serve on the organisation's board and therefore decide policy.
(In some cases, local laws forbid Kluge from having a controlling stake, but Hatt says that Metromedia International has considerable sway, given its control over the financial, technological and managerial resources of these ventures).
In Queensland particularly, where the gun lobby had considerable sway in rural electorates, opposition quickly reasserted after the massacre.
Even with the reforms, employers will still have considerable sway over workers.Housing is one area where the government has made progress.
They make up a large part of the NFL audience, and have considerable sway with league commissioner Roger Goodell: the U.S. military.
As assistant to the president and counselor to the vice president, Ms. Matalin had considerable sway in the White House because of Mr. Cheney's influence with President Bush.
