After the ouster of former CEO Andrew Mason in March, Lefkofsky was operating as interim co-CEO alongside now-Chairman Ted Leonsis. Lefkofsky said that although an external search was underway for a CEO, the choice of an insider with entrepreneurial experience and a close connection to the company would be less disruptive to operations at this critical time.
(Related: Groupon names Lefkofsky CEO; revenue exceeds estimates)
However, even with the new position, Lefkofsky told CNBC Thursday that the company will remain focused on several core strategies—migration to mobile, the transition from being a daily email service to "a true e-commerce marketplace" while looking to apply successes in North American markets to operations across the globe.
Lefkofsky said that part of the "playbook" for growth abroad is to bring more deals and to present Groupon as a starting place for consumers, instead of an ancillary shopping destination.
He added that mobile growth overseas is expanding faster than in North America, where nearly half of the business is done on mobile devices. "The growth internationally and the growth on Android is even faster," he explained. "Not only do we make money in North America, but we make money in Europe as well and have since the middle of 2011."
"People who are looking for that kind of global e-commerce exposure might naturally think of Groupon as a place to be," he added.
(More from the interview: New Groupon CEO: Old CEO's album reminds him of Kermit)
As Groupon expands, the strategy for differentiation is to remain highly curated and focused locally. Groupon is "inherently local," Lefkofsky said. "I think that fundamentally distinguishes us. ... We're fundamentally a master of mobile and local commerce."
Lefkofsky said that email services currently account for only about 40 percent of the company's business, compared with nearly 100 percent in the early days. However, he said that "email is still a big part of our business" and expects that the service will remain an important component of the company moving forward.
In Wedneday's earnings report, Groupon said that its second-quarter loss totaled $7.6 million, or 1 cent per share. Excluding items, the company said it earned 2 cents per share, matching the average estimate of analysts polled by FactSet.
Revenue rose 7 percent to $608.7 million from $568.3 million. Analysts were expecting $606.2 million.
"We told people in the past that we're investing in the long term," Lefkofsky said of the company's results. "Groupon should be one of the great e-commerce companies in the world and we're still in the midst of building that very business."