“We have recently seen a surge in trademark filings by unrelated third parties trying to capitalize on the name,” Ms. Klem said, “and it is our responsibility to diligently protect our trademark.”

Chinese trademark officials didn’t respond to a request for comment on Monday.

Mr. Trump said in a surprise announcement on May 13 that he was working with China’s president, Xi Jinping, to save jobs at the Chinese telecommunications company, ZTE. The company was left paralyzed after American officials forbade companies in the United States from selling their chips, software and other goods to ZTE for violating trade controls. Mr. Trump’s announcement was widely seen as a potential peace offering to Beijing as the United States and China threatened each other with tariffs on hundreds of billions of dollars worth of trade.

Just before and after that announcement, Ms. Trump won some long-sought trademarks covering her name in China.

Six days before the ZTE announcement, China said it approved five of Ms. Trump’s trademarks, according to data from China’s trademark office. Then, on May 21, China awarded Ms. Trump two more trademarks in snacks, spices and bleaching preparations. In total, Ms. Trump now has 34 trademarks in China that would allow her to capitalize on her brand in the world’s second-largest economy.

Experts said the timing appeared to be a coincidence, given how quickly Ms. Trump won her previous trademark requests from the Chinese authorities, though they differed on whether she appeared to receive special treatment.

Ms. Trump applied for six of the trademarks in March 2017. She applied for the seventh even earlier, in May 2016. China’s trademark office usually takes up to 18 months to approve trademarks, said Charles Feng, head of the intellectual property division at the law firm East & Concord Partners.

“From application to registration, this is very fast,” he said.

Laura Young, a trademark lawyer at Wang & Wang, said she did not see anything unusual about the timing. She pointed out that under Chinese law, the trademark office should complete its examination of a filing within nine months, and that some of her clients get decisions within a year.