Murray, who made six appearances in the Guinness PRO12 this season scoring a single try, wants Ireland to use the disappointment of giving up a 16-point lead last time out as fuel for their final game of the season.
The 27-year-old, who will earn his 50th Ireland cap this weekend, said: "We can right the wrongs this weekend, we definitely believe we can do it.
"We've just got to stay tight, stay together. It's our last game of the season, and it's a massive one and we've just got to give it everything.
"The atmosphere in camp is annoyed and that we left things out there. You can feel it around the place.
"People are hungry to get training and just go ahead, which is good."
Ireland were 19-3 up at half-time against the Springboks in Johannesburg on Saturday but eventually slipped to a 32-26 defeat.
And despite the disappointing performance in the second half at Ellis Park, the world's highest international rugby ground at over 5,500ft above sea level, Murray refused to blame the altitude.
"Personally I didn't feel any different. I felt really fit out there," he added.
"People will probably raise that question, did we fade or did the altitude get to us? I don't think we can use that as an excuse.
"We were at altitude but we weren't that high up. I don't think it made a massive impact on anyone really.
"We actually ended up standing off the South Africans a little bit and soaking a few tackles which gave them front-foot ball and allowed them to get into their rhythm and into their front-foot game which they like to play."
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