I'm trying to extract Fresco Logic USB3.0 Host Driver ( https://support.frescologic.com/portal/home ) from installer.
This is how it looks after extraction.

I've downloaded Advanced Installer but I do not see any option regarding file export. (drag and drop function does not work either)
Does anybody know how to get those files? My goal is to slipstream them into windows 7 image via DISM.

Did you just run the exe file directly? You should be able to extract like this from a command prompt:
FLUSB3.0-3.8.33709.0.exe /extractMake sure the folder you are in is writeable for you, and you should get an output folder
6187973with all the files you refer to (the actual driver files). Not sure which ones you need.Tip: This site is for programmers, the site dedicated to system administration is serverfault.com. And there is superuser.com for advanced users.
As you know, you can also use these MSI packages to deploy the drivers to a machine that has been set up based on your base Windows image. I guess this could be better if newer drivers are likely to be provided down the line?
Some links for safekeeping: