Australia have won one Test series in India in four decades but Arthur says India will feel the enormous weight of over one billion fans on their shoulders if they fail to dominate the First Test.
"What I do know is that you put India under pressure here, it's as immense as Australia in our home season or England in their home season," Arthur said on Tuesday.
Arthur coached South Africa to a Test-series victory in Australia in 2008-09, so he has seen first-hand how a powerful home side can be brought undone by internal and external pressures.
He also coached the Proteas to a 1-1 drawn series in India in 2008.
"The scrutiny on them (India) is incredible. If we can do that consistently, we can get some really good positive results," Arthur said.
MS Dhoni's India side have requested a turning pitch for Friday's first Test in Chennai and there seems little doubt that's what will happen.
India are tipped to play left-arm spinner Pragyan Ojha, offspinners Ravi Ashwin and Harbhajan Singh and spin-bowling allrounder Ravindra Jadeja on Friday.
Australia back-up batsman Usman Khawaja, who made an unbeaten 30 in the three-day game against India A which ended in a draw on Monday, is also attempting to put a negative spin on India's slow-bowling plans.
"The Indian spinners have a lot of pressure on them because if it is a turning wicket, they will be expected to take wickets," Khawaja said.
Australia were bowled out for 235 in their first innings against India A with spin taking nine wickets, although the tourists, after being forced to follow-on, recovered to reach 3-195 in their second dig.
Shane Watson (60) and Ed Cowan (53) were in excellent touch in Australia's second innings and shared their second three-figure stand of the match.
Khawaja said India A's bowlers used the spin-friendly conditions brilliantly.
"They put a lot of pressure on us," Khawaja said.
"The players took a lot out of that.
"That's why in the second innings you saw us bat so well. Watto and Eddie really set it up and we batted pretty well."