Looking on the internet deeply has found these results:

works with batteries is the most popular phrase on the web.

works on batteries 152,800 results on the web	works with batteries 1175,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Moreover, these traditional barometers have an unlimited lifespan, unlike their digital successors, which work on batteries and therefore use energy. Volta's battery works at room temperature. 1995 Trinitarios work the area from Battery Park City to 34th Street. The battery works but it's not receiving anything. A wall outlet will do nicely if there's one available, but if you need something more portable, a car battery works in a pinch. The fact is the battery works. Available in 2 sizes to suit 2×D and 2×AA batteries Works with 2×D batteries	Available in 2 sizes to suit 2×D and 2×AA batteries Works with 2×D batteries Volta's battery works at room temperature. The battery works but it's not receiving anything. The fact is the battery works. Trinitarios work the area from Battery Park City to 34th Street. Moreover, these traditional barometers have an unlimited lifespan, unlike their digital successors, which work on batteries and therefore use energy. A wall outlet will do nicely if there's one available, but if you need something more portable, a car battery works in a pinch. Works with 3x AAA alkaline batteries included

works on batteries

152,800 results on the web

works with batteries

1175,000 results on the web

More popular!

Moreover, these traditional barometers have an unlimited lifespan, unlike their digital successors, which work on batteries and therefore use energy.
Volta's battery works at room temperature.
1995
Trinitarios work the area from Battery Park City to 34th Street.
The battery works but it's not receiving anything.
A wall outlet will do nicely if there's one available, but if you need something more portable, a car battery works in a pinch.
The fact is the battery works.
Available in 2 sizes to suit 2×D and 2×AA batteries Works with 2×D batteries

Available in 2 sizes to suit 2×D and 2×AA batteries Works with 2×D batteries
Volta's battery works at room temperature.
The battery works but it's not receiving anything.
The fact is the battery works.
Trinitarios work the area from Battery Park City to 34th Street.
Moreover, these traditional barometers have an unlimited lifespan, unlike their digital successors, which work on batteries and therefore use energy.
A wall outlet will do nicely if there's one available, but if you need something more portable, a car battery works in a pinch.
Works with 3x AAA alkaline batteries included