The Americans have lifted the illustrious silverware just twice in the past 10 events, most recently succumbing to a 16 1/2 to 11 1/2 defeat to Europe at Gleneagles last weekend.
The post-script, however, has stolen as many headlines as the action itself, with experienced US player Phil Mickelson slamming captain Tom Watson's tactics.
Azinger was the last man to captain a winning US Ryder Cup team in 2008, with Mickelson claiming the use of "pods" to help determine pairings one of the main reasons they tasted success at Valhalla.
Skipper Watson was unhappy with Mickelson's comments, while former Europe captains Nick Faldo and Colin Montgomerie were also scathing of the five-time major champion's attitude following yet another defeat.
And amid the turmoil, Azinger is open to the idea of leading the US at the 2016 event on home soil at the Hazeltine National Golf Club in Minnesota.
"I'm not going to rule anything out," the 1993 PGA Championship winner said.
Azinger added that the PGA of America needed to copy their conquerors to ascertain a winning formula.
"The PGA of America has officers that move up the ranks, getting sage advice along the way, and then many of them stick around and keep offering advice," he said.
"I think the PGA of America should recognise their business model is exactly the same as what Europe uses in selecting a captain."
Azinger said such was Europe's systematic dominance of the Ryder Cup, the US were like a punter trying to outplay the casino.
"Europe has the intangible right now. They give themselves the extra one per cent chance to win through its business model and cohesiveness," he added.
"Even if you play blackjack perfectly in a casino, the casino still has a very slight edge against you.
"Right now Europe is the casino and the US is the guy walking to the blackjack table with a fistful of 50s."