Preston says he's optimistic that the newly-listed company will succeed in growing its revenue abroad.
"Facebook's revenue per user abroad is well above Twitter's. If Twitter can monetize to the same extent as Facebook, then it has a lot of growth ahead of it," he said. In the third quarter, Facebook's international advertising revenue stood at $966 million, rising from $548 in the same period a year earlier.
"We expect international growth to continue to outpace U.S. growth and be a key driver for Twitter's overall revenue growth," he added. User growth rates in Argentina, France, Japan, Russia, Saudi Arabia and South Africa are expected to continue to be higher than that of the United States in the coming years.
(Read more: Twitter's huge rally draws its share of skeptics)
Sizemore agreed, noting, "Twitter is a couple of years behind Facebook in terms of monetizing their user base. They are going to have to invest, put their boots to the ground, and drum up business. It's a long-term project, it may not happen within the next six months, but it will happen," he said.
Scott Kessler, head of technology research at S&P Capital IQ, however, notes that expanding overseas operations will require a lot of the company's resources, which could prove challenging. While the company's revenue has been growing, it is not yet profitable, posting a loss of $64.6 million in the September quarter.
"As the company starts building out offices and capacities around the world – that takes resources, time and a lot of skill – it could be a big challenge for the company over the next year or two," Kessler told CNBC earlier this week.
—By CNBC's Ansuya Harjani; Follow her on Twitter: