The Aussies struggled to take wickets on a regular basis in Chennai and eventually slipped to an eight-wicket defeat.
Looking back, Arthur admitted that the outcome may have been different had his side deployed a couple of spinners from the start.
"That's going to be the million dollar question," said Arthur. "It's easy in hindsight having a look at how the wicket ended up, you probably would have liked two spinners on there. However, our quicks took most wickets.
"We didn't get a massive return from spin in this game. I thought James Pattinson was outstanding, so it's a difficult dilemma."
Reports have claimed that Xavier Doherty will be included for the second Test in Hyderabad.