Interesting question. I was not previously aware of the distinction between a 'soft' or 'hard' credit pull and did not realize that a hard-pull would show-up on your credit report and would likely cause some damage your credit rating. (I just found-out that I've got a 'hard pull' on my Credit Report for a retail card that I applied for a couple of years ago ... but, never used).
Here is a pretty good article about the subject:
https://www.creditkarma.com/article/...soft_inquiries
I think that I would approach the potential employer with this article and advise that you have excellent credit and do not wish to see it damaged ... and thus, would like to arrange an alternative to a 'hard pull', such as you providing them with a copy of your credit score, which you would pull.