Remaining tight-lipped about the details of his still yet-to-be-confirmed role in the sequel, Clarke told Digital Spy that he spent three months in Los Angeles for the shoot.
"I had a great time filming it," Clarke said. "I went there and did my job to the best of my ability. Hopefully JJ and the execs were happy, and hopefully I make the final cut of the movie!
"I was there for three months, so it was a good adventure."
Asked whether a name had yet been confirmed for the long-untitled film, Clarke confirmed: "Yes. Am I gonna tell you? No."
Simon Pegg also spoke to Digital Spy recently about his time on Star Trek 2.
Chris Pine has "described the film as "a small, character-driven story".
Watch the trailer for Star Trek below: