Training is a conclusion from determining that someone isn't yet competent. It usually addresses skills. So, to have "ISO training", you'd have determine that ISO was a competency your people needed and, having discovered that they aren't yet competent, what training was needed.
So, two things occur to me - one is that you should fire your auditor (doesn't understand the sequence of events) and, two, that you don't have a process owner for this, as they should know the sequence and how your own QMS process works (ISO requirement 6.2.2). They should have been able to push back on the stupid auditor! Same for anything else the auditor has invoked "because they could"...