I want to say that:
I worked on enabling Marketing and Engineering teams during several product launches.
Is "during" the right word to use here? Should it be "through"? How do I know which is the right preposition to use?
First, I think you probably mean to say "I worked to enable" not "I worked on enabling", or even simpler "I enabled". The problem with "worked on enabling" is it has the connotation of something that took a long time to complete, like:
You don't want to convey the idea that it took you a long time to enable the teams so that's why the alternatives I suggest are preferable.
The first version, using "during", connotes that this work was periodic, that there would be a product launch, and you would need to shift gears and move into enabling mode, and then the launch would end, and you would switch to a different type of work for a period. The second version, using "through", connotes that this work was continuous, that another product would probably start being launched even before the first was done launching, and therefore year-round you were focused on enabling these teams participating in the product launches. I don't think either word has a better connotation to it or would be more helpful on a resume than the other, so you probably just want to use whichever word is more accurate.