You should create journal receiver (CRTJRNRCV) and journal (CRTJRN). Then you can start journaling your fhysical file (STRJRNPF) and end journaling fhysical file (ENDJRNPF).
<i>…they should be able to audit every change to three critical database files when I am remotely signed on to their ISeries.</i>
If these are really “critical files”, then there’s no problem because they’re already being journaled. If there is no process of journaling or equivalent, then they cannot really be considered “critical”. The organization clearly isn’t concerned about anybody doing anything without tracking nor about loss of transactions or existing data.
If the request is specific to <i>your profile</i> instead of <i>any change when you are logged on</i>, the triggers could discriminate and provide logging just for accesses by your profile.