You can leave these on if absolutely necessary but realistically, you should remove these for any kind of flooring work your considering; concrete or otherwise. We can do this for you if you like.
The details: While we have done plenty of work without removing them, it's not advised, and it will cost you more for us to have to carefully work on your concrete floor without doing too much damage to them. If you insist on leaving your floor boards on while we work, it should be still noted that they will inevitably get nicked, scratched, damaged, and dinged in places. Our tools have to be very powerful to grind concrete floors and your option is to either have unfinished edges or for us to try to get right up against them with 8,000 rpm hand grinders spinning a diamond embedded metal alloy disk. If you're getting an epoxy done, your baseboards will be partially embedded in the epoxy floor, this is especially the case for a reflective/metallic epoxy floor that has a thick build. With concrete floor polishing, the chances of damaging them goes up as we have to make numerous passes along your edges with ever finer polishing grits.