Yeah, normal words like "reaching out" (said the way Neil Diamond says it, with some seriousness and a straight face). It turns professional life into melodrama.
Or just, email me when... or call me when... At least it gives me a hint about the best way to contact you about something.
"ping me" does have a useful connotation, though, like "touch base" or "give a heads-up" it suggests a pretty minimal communication, just to let someone know that something has or will occur. Making a distinction between a short notice that can be followed up on if needed, vs. a more detailed memo or report.