At the end of September, Zynga, known for popular games such as FarmVille and Mafia Wars, had about 6.7 million unique players. Paying players account for less than 3 percent of Zynga's total number of players.
"We could see that doubling," Pincus said at a luncheon in Boston. He did not give a time frame for meeting the target.
Zynga executives are on the road this week pitching the company's stock as the company prepares for a $900 million-plus initial public offering scheduled for next week.
(Reporting by Tim McLaughlin in Boston)