"When we play against them at the end of the year I want the team to play our own game and not try and follow their play," Arthur was quoted as saying in News24.com website.
"When they bat at four runs per over I don't want us to try and bat at four-and-a-half runs to the over. We should not worry about what they do, but rather play to our own strengths and as well as we possibly can."
On being asked about Australia's below-par One-day performance against England, Arthur said, "There seem to be a few cracks in the ODI team, but with the return of Shane Warne their Test side is still tops. What I do like, however, is that they are increasingly being put under pressure and they don't seem to handle it very well. Their major problem is that the senior players are not performing as expected."
South Africa's tour of Australia includes three Tests and a triangular series also involving Australia and Sri Lanka.