Looking on the internet deeply has found these results:

influence on is the most popular phrase on the web.

influence in 127,200,000 results on the web	influence on 169,800,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
It doesn't look like this phrase is very popular! The search could not find any examples on the internet.	Importers and distributors perform a trading function and do not have any influence on the production process. No influence on glucose or lipid metabolism was observed. But she's quite a good influence on him. Their civilization had a profound influence on others of your species. Elena has no influence on you. The commander thinks I'm a bad influence on you, lieutenant. AWM will retain a strong influence on Investbx. They're a bad influence on you.

influence in

127,200,000 results on the web

influence on

169,800,000 results on the web

More popular!

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

Importers and distributors perform a trading function and do not have any influence on the production process.
No influence on glucose or lipid metabolism was observed.
But she's quite a good influence on him.
Their civilization had a profound influence on others of your species.
Elena has no influence on you.
The commander thinks I'm a bad influence on you, lieutenant.
AWM will retain a strong influence on Investbx.
They're a bad influence on you.