Fast food workers wanted to negotiate a roadmap to higher wages in the U.S., Sonn said, and to "sit down with the industry" to transition to a "higher wage, higher productivity model."
Although higher wages would require "modest price adjustments" in the fast food retail price and a reduction in fees for franchisees -- which run 75 percent of fast food businesses in the U.S., according to the International Franchise Association -- to allow them to pay higher wages, Sonn insisted that fast food firms would retain more workers and save on the "major costs" of having to recruit and train staff.
(Read more: Minimum wage hike: Just what the economy ordered?)
Higher wages are a moot point for governments and central banks around the world in an age of central bank stimulus. Concerns over the inflationary effect of quantitative easing in the U.S. and U.K. have been a key issue for policymakers looking to stimulate the economy and liquidity without causing price increases.
Unemployment too is a key challenge facing the U.S., with the jobless rate at 7.2 percent in October, still above the U.S. Federal Reserve's 6.5 percent target that could prompt it to start reducing its stimulus program.
Against such a backdrop, there could be widespread reluctance to raise wages when millions are desperate for work and employers are facing reduced profit margins.
While inflation is "fairly benign" at the moment and below central bank target in the U.S. and U.K., one market analyst told CNBC, a jump in the minimum wage could prompt concerns within the Federal Reserve and consequences down the line.
"Something like this [a higher minimum wage], if I was at the Federal Reserve, would start to get me worried – maybe not in 2014, but beyond that," Charles Diebel, head of Market Strategy at Lloyds Bank Commercial Banking told CNBC on Thursday.
"If you start to get this big jump in wages maybe that would just lower corporate profit margins and the companies can absorb it and maybe that doesn't alter the longer-term inflationary bias. But one would think that if the amount of income that the people who work in these places goes up, they are going to spend more of it."
"Although that sounds great as it increases economic activity, it does increase the inflationary risk. That, to me, is the real issue here."
- By CNBC's Holly Ellyatt, follow her on Twitter