The CBS action-drama, which stars Jim Caviezel and Michael Emerson, has not yet been picked up for a full first season.
However, Nolan told Entertainment Weekly: "We have a large and growing audience. The network has been incredibly supportive and positive."
He added: "It's a fun problem to have that you wake up every day hoping to tell a story that people find compelling and engaging, and if you do, you get to keep telling that story, which seems fair."
Nolan also revealed that the show's ninth episode will focus on Detective Carter (Taraji P Henson).
"One of the fun things to do is to take someone who you've developed a rapport with episode after episode, but maybe you haven't discovered as much about them as you want," he said. "Then, you get a chance to put that person in the spotlight for a minute."
The showrunner previously promised that viewers will learn more about enigmatic millionaire Finch (Michael Emerson) in the coming weeks.
Person of Interest continues on Thursdays at 9/8c on CBS.
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Watch a preview video for the next episode of Person of Interest below: