Maori TV was under pressure to clear any perceived conflict of interest after Mr Taurima was found to have campaigned for Labour while working at TVNZ.
Mr Wilcox has consistently refused to confirm or deny whether he would seek the Tamaki Makaurau nomination. Maori TV yesterday put out a statement to end "media speculation".
Chief executive Paora Maxwell said Mr Wilcox had given an "unequivocal statement" in writing that he was not seeking political office.
Maori TV "will continue to value our editorial independence in providing impartial and independent news coverage", he said.
Tamaki Makaurau Labour electorate committee member Shane Te Pou said he was gutted that Mr Wilcox did not put his hand up for Labour.
"Head office has got a lot to answer for here. This whole process has been politically mismanaged. We are now about 100 days away from an election and we don't have a candidate in ... one of the most, if not the most crucial seat in the country."
He said Labour should have at least six nominations for the seat, but the selection process was not open enough and was too dependent on "shoulder-tapping".
The Maori Party has chosen Rangi McLean as its candidate. The Greens have chosen Marama Davidson, a former Human Rights Commission educator.