He will report to Papa John’s president and chief operating officer, Jude Thompson.
Varga joins after 21 years with drinks company Brown-Forman, where since 2007 he held the position of senior VP/director of marketing, responsible for its wines and spirits portfolio in the North American region.
Between 2004 to 2007 Varga was senior VP/managing director, wines marketing, with global responsibility for the wine portfolio.
Prior to that role he was VP/director of corporate strategy, leading Brown-Forman’s strategic planning process and reporting to the company’s chairman and chief executive.
Papa John’s is headquartered in Louisville, Kentucky. It recently reported revenues of $276.6m (£169m) for the second quarter of the year, a 2.4% fall from the comparable 2008 period.
Meanwhile, revenues for the six months to 28 June fell 1.9% to $561.6m (£343m).