"influence negatively" is correct and usable in written English.
You can use it when you are referring to something having a harmful effect on something else. For example, "The company's new policies influenced employee morale negatively."
This fact may influence negatively with the performance of the restorative procedure.
The 25 kGy γ-irradiation dose seemed to influence negatively the HS release from the carriers.
More comprehensive and restrictive no-smoking legislation and legislation on youth access to tobacco influence negatively the prevalence of smoking both for men and women.
The excess fluctuation of power output and voltages can influence negatively the quality of electricity in the distribution system connected to the wind power generation plant.
The reduction of resources for maintenance of the facilities, diagnostic rooms, air conditioning systems, waiting rooms for the patients, represents an epiphenomenon of the more general problem, but is able to influence negatively the routine activities of the department.
Addition of starch in the production medium imposed a significant effect on siderophoregenesis by A. faecalis whilst, siderophore production by P. aeruginosa strain EGYII DSM 101801 did influence negatively by starch addition in the production medium.
She also mentions her concerns about the younger generations, worrying that they can be influenced negatively by pop.
The mechanical properties can be influenced negatively beyond this value.
On this basis, the presence of salts influences negatively the sequestration efficiency.
Then, levels of indebtedness of Tunisian firms are influenced negatively by their profitability.
Furthermore at increasing temperatures, hydrogen-producing metabolism becomes less influenced negatively by the H2 partial pressure in liquid phase [74].
