Steven Mnuchin revealed his plans after the House passed a bill that would potentially ban the app in the United States.
A conditional ban of the China-based app — which opponents call a "steep and slippery slope" — now goes to the Senate for consideration.
The decision came after Resso was removed from Google Play and the Apple App Store on the orders of the Indian government.
The additional countries arrive just two weeks after the company announced the rollout of its new streamer, TikTok Music, in Brazil and Indonesia.
The subscription-only service will synch with users' existing TikTok accounts to enhance music discovery. It will replace Resso in both countries.
Ripple, which launched in Beta on Friday, would allow TikTokers to create audio for their clips without ever leaving a ByteDance app.
A former executive at ByteDance says the company has a "god credential" that enables a special committee of Chinese Communist Party members to view all data collected by the company.
The company argues that the new state law is an unconstitutional violation of free speech rights.
One content creator with 97,000 followers shares videos about living on a ranch, parenting, recipes and home decor.
The measure, which is slated to take effect on Jan. 1, 2024, is likely to be challenged in court.