The protest was aimed at expressing Hong Kongers' anger over a national security law - imposed on the special administrative region by Beijing - that would ban subversion, secession, terrorism and foreign interference in the territory.
He added that attempts by Washington "to obstruct China's legislation for safeguarding national security in Hong Kong", by imposing sanctions against officials in the city and Beijing "will never succeed".
Zhao reiterated China's insistence that the law was "purely an internal affair of China, and no foreign country has the right to interfere".
The measure, sponsored by Republican Senator Pat Toomey of Pennsylvania and Democratic Senator Chris Van Hollen of Maryland, comes as tensions over Hong Kong have increased over the past year as China has cracked down on protesters and sought to exert more control over the former British territory.
"We urge the USA to immediately correct its mistakes, withdraw the decisions and stop interfering in China's domestic affairs", she said.
China has said the new security law will target only a small group of "troublemakers"; a position echoed by the administration in Hong Kong.
"President Trump promised to punish the Chinese communist party officials who were responsible for eviscerating Hong Kong's freedoms".
A young woman (C) is surrounded by police before a protest is staged in Hong Kong on June 28, 2020, against looming national security legislation to be implemented by the mainland Chinese government.
The Senate measure includes secondary sanctions on banks that do business with anyone backing any crackdown on the territory's autonomy, potentially cutting them off from American counterparts and limiting access to USA dollar transactions.
In his statement Friday, Pompeo focused on China's recent moves in Hong Kong, which was supposed to have a "high degree" of autonomy for 50 years under the agreement struck when Britain relinquished colonial rule.
On Thursday, the USA senate approved a bill that would impose mandatory sanctions on people or companies that back efforts to restrict Hong Kong's autonomy.
He said the State Department would begin warning U.S. citizens of the threat of surveillance and arrest when visiting the city.
With the world focused on the pandemic, Beijing thinks this is their opportunity to steamroll Hong Kong, " said Senator Josh Hawley, the resolution's sponsor.
The draft law and a deliberation report, which were submitted by the NPC Constitution and Law Committee to the session, have had opinions from all sectors, including those from people of all walks of life in Hong Kong, fully studied and solicited, embodied the spirit of the related NPC decision and responded to the concerns of related parties, lawmakers said.