The phrase "a large influence over" is correct and usable in written English.
It can be used to describe the extent of someone's impact or effect on someone or something else.
Example: "The new policy had a large influence over the company's decision-making process."
Alternatives: "a significant impact on" or "a considerable effect on".
The NAO is believed to have a large influence over winter weather in Europe.
Although executives no longer decide who is nominated to become, or remain, a director, they still have a large influence over the pay and composition of the board.
Stomata present an excellent opportunity for connecting scientific disciplines: they are governed by complex genetic controls and unique cell biology, while also possessing a large influence over plant productivity and relationships with the environment.
As expected the last surface pre-treatment step exerts a large influence over the final characteristics of the surface film when a number of pre-treatments are applied sequentially to the same surface.
The media holds a large influence over our culture and society.
Tires have a large influence over bike handling, especially on motorcycles, but also on bicycles.
(Keystone species are those with a disproportionately large influence over a community's structure).
One of the most effective methods of advertising involves collaborating with influencers -- individuals who wield large influence over a significant audience of thousands of followers or friends on social media.
And they are focusing their effort on Mr. Schumer, who as chairman of a Senate subcommittee on immigration wields large influence over the passage of such legislation.
Mr. Murphy said directors often feel uncomfortable bringing the succession issue up with chief executives — who in many cases exert large influence over boards, sometimes as chairman.
Robert Willens, an accounting analyst for Shearson Lehman Brothers, said that Pennzoil was clearly slated to have large influence over Getty, and that it would help to prove that its new investment was similar if Pennzoil seemed to have influence over Chevron.
