Huawei now claims to have nearly 190,000 employees, operates in 170 countries, and reported revenue of more than $100 billion in 2018.
Ren said his company would not yield to pressure from Washington.
"We will not change our management at the request of the US or accept monitoring, as ZTE has done," he said, as quoted by The Nikkei, referring to fellow Chinese telecoms giant ZTE which was also targeted by Washington.
ZTE came close to collapse last year after US firms were banned from selling it vital components over its continued dealings with Iran and North Korea.
Trump later reversed the decision and in return ZTE had to pay a $1 billion fine and accept monitoring by the US Commerce Department.
President Donald Trump effectively barred Huawei from the US market on Wednesday and added it to a list which would restrict US sales to the firm amid an escalating trade war with Beijing.