But it's Congress that must take action, acting ethics head David Apol said.
News comes a day after Trump agrees to drop sanctions against Chinese telecom giant ZTE.
The trademark approvals raise new concerns about potential Trump family conflicts of interest.
Trump will profit from Indonesian resort project that will get $500 million in Chinese loans in a deal sealed days before before his tweet ordering help for ZTE.
ZTE pleaded guilty last year to conspiring to violate U.S. sanctions by illegally shipping U.S. goods and technology to Iran.