Use the mobile app its 1000% better and you get coupons. https://play.google.com/store/apps/details?id=com.papajohns.android
I think it depends on when you call them. On a Tuesday I was able to get through to the actual store. On a Friday night my call was routed to a call center in India. When the call center routed it back to the store (because it was a large order), the store hung up before ever talking to me.
Busy, but I got through
Thanks! Your answer is awaiting moderation.