Following last weekend's 34-16 loss to the All Blacks, reports in Welsh media have stated that Gatland is under pressure to beat the Springboks this weekend.
Wales have failed to beat any of the southern hemisphere's big three in the last 22 attempts and have only won one in 27 games since Warren Gatland took over as coach in January 2008. Their only victory came six years ago against Australia.
During Tuesday's press conference in Cardiff, a reporter asked Edwards if he thought Gatland's job could be in jeopardy, before Edwards responded in angry fashion.
Edwards said: "What do you mean 'under pressure'?"
"Being a Test match rugby coach, every game has got pressure. Being any sort of coach, every game has got pressure. I don't understand what you mean. Do you mean do you think he is going to get sacked?
"If you coach Wigan Under-11s, you get pressure. You are a coach. Of course he is under pressure, everyone is under pressure. Every single game is a pressure game.
"If you are coaching a Sunday League team you are under pressure to win a game. I don't understand what you are trying to get at.
"What about if you win three Six Nations? Yes, it is a good answer. Next question."
The Springboks and Wales have faced each other on 29 occasions, with the Boks winning 27 of those. Wales' only victory came in Cardiff in 1999, while there was also a draw in 1970.
Kick-off for Saturday's clash at the Millennium Stadium is scheduled for 16:30 (SA time)