Ward addressed the tweet to New Zealand director Taika Waititi, who recently told an interviewer New Zealand was a "racist place" because people refused to pronounce Maori names properly.
Waititi responded, "Ka mau te wehi, e hoa! (said the 'brown' way)". Translated it means, "awesome, mate".
Ward has been inundated with support since posting the tweet.
NZME broadcaster Stacey Morrison wrote, "Ka pai Dave, and it's more the wrong way than the 'white way'."
The client declined to comment when approached by the Herald.
NZME entertainment director Dean Buchanan said there was a fantastic momentum in New Zealand around te reo and embracing the proper pronunciation of the Maori language.
"As a major broadcaster we see we have an important role to play in this regard. It's a really important issue for us.
"We work hard on this with our processes and policies to get pronunciation right. Stacey Morrison helps us in this regard internally.
"What this has taught us – is that we need to make sure our commercial voice contractors, know where to raise an issue, if they have a problem that needs to be addressed."
NZME is the publisher of the Herald.