Sale Sharks director of rugby Steve Diamond could be investigated by the Rugby Football Union following a confrontation with a journalist after his side beat Gloucester on Saturday.
Sam Peters, who writes for both the Sunday Times and Independent, said Diamond challenged him after the post-match news conference at Kingsholm.
A spokesperson said the RFU would "look into it" if a complaint is received.
Peters said on Monday he had "decided not to pursue this matter further".
He added: "I'm incredibly grateful for all the support I have received in what has been a difficult 48 hours."
Despite a short video of the pair arguing appearing in the Sunday Telegraph, and a number of reports giving detail of the altercation, the game's national governing body said on Sunday it had not had a formal complaint.
On Saturday, the Press Association reported that there was an "unsavoury incident" between the pair, with Diamond apparently unhappy with criticism from Peters earlier this season.
The Sale coach is said to have approached Peters and asked him to come outside the press room, with Diamond then squaring up to the journalist and allegedly seizing his dictaphone, before the pair were separated following a heated verbal exchange.
When contacted by BBC Sport, a Sale spokesperson said the incident was likely to be discussed on Monday before any statement was made.