"We are under no pressure to make a deal with China, they are under pressure to make a deal with us", he wrote on Twitter, in response to a Wall Street Journal article that cited "a steady rise in political pressure" to ease up on trade fights.
"At the same time, we do not believe that the current system is flawless and without flaws", he said.
The announcement followed reports by American and European chambers of commerce that foreign companies in China have been hurt by earlier tariff hikes by both sides in the fight over Beijing's technology policy.
"We support President Trump's efforts to reset US-China trade relations, address long-standing inequities and level the playing field", Zheng said.
China welcomed on Thursday a USA offer to hold fresh trade talks, adding that the two are discussing the details and providing some hope the world's top economies could step back from the brink of an all-out trade war.
"Secretary Mnuchin who is the team leader with China has apparently issued an invitation", Kudlow told Fox Business Network. "If you have a big decline in the stock market just before the election, it could swing it in the way of the Democrats".
The next wave of 25 per cent tariffs on a further $200 billion in imports will loom over any talks - after a public consultation period for affected businesses came to an end last Thursday.
It resulted, however, in Americans for decades missing out on innovations from European truck makers and paying higher prices for US pickups and sport utility vehicles, said Mark J. Perry, an economist at the American Enterprise Institute. Our markets are surging, theirs are collapsing.
Trump imposed his first phase of tariffs this summer on $50 billion of Chinese goods, including high-end technology parts and manufactured goods, while Beijing fired back dollar-for-dollar at United States soybeans, autos and other farm goods. The business lobby urged Washington to reconsider its approach.
"Every sector of the USA economy stands to lose in a trade war", Matthew Shay, who heads the National Retail Federation, said in the statement.
But Kudlow was non-committal over the chances of a breakthrough, adding: "I guarantee nothing".
"China has indeed received an invitation from the U.S. and holds a welcoming attitude to it".
The US and China have slapped tariffs on $50bn of one another's goods this year in an escalating trade war between the world's two largest economies.
US President Donald Trump said last week that in addition to preparing tariffs on the further US$200 billion worth of goods, he had tariffs on an additional US$267 billion worth of goods ready "on short notice if I want".
The last talks, between mid-level US and Chinese officials on August 22 and 23, failed to reach any agreement.
That shows "neither side is 'winning, '" because "both are equally prone to losing companies", the chamber said.
A day earlier, more than 60 USA industry groups launched a coalition - Americans for Free Trade - to take the fight against the tariffs public.
Yu Zhi, an worldwide trade specialist at the Shanghai University of Finance and Economics, urged Beijing to resolve Washington's fundamental and long-standing problems with its trade practices in any negotiations that take place to avoid further expanding the trade war.
The Journal reported that the US reached out because of political pressure on Trump to ease up on trade fights ahead of November's midterm elections.
More than 60 per cent of USA companies polled said the US tariffs were already affecting their business operations, while a similar percentage said tariffs by China on US goods were having an effect on business.