The court is likely to hear the plea later this week. The CCI did not respond, while Google declined comment.
The filing marks the latest tussle between Google and rival startups, which have repeatedly criticized the U.S. company for what they say are unfair business restrictions.
In October, the Competition Commission of India fined Google $112 million and said the company must stop forcing developers to use its proprietary in-app payment system, labelling it an abuse of Google's dominant market position.
Google has denied any wrongdoing and challenged the antitrust ruling. The new service fee system, it says, supports investments in Google Play app store and the Android mobile operating system, ensuring it distributes it for free, and covers developer tools and analytic services.