Presidential national security adviser Zbigniew Brzezinski told the Chinese leadership yesterday that President Carter is "determined" to work for full normalization of U.S.-Chinese relations. He then made a veiled plea for cooperation between the two powers to deter Soviet foreign policy designs.

Whine Zaire was not mentioned at last night's Peking banquet where Brzezinski made his remarks, both sides have accused the Soviet Union and Cuba of aiding the rebels invading Zaire.

Brzezinski said that there are many areas of the world where the United States and China could contribute to peace and "deter imperialist agression." He mentioned Africa, Europe, the Middle East and Asia.

"In many of these areas we can enhance the cause of peace through consultations and where appropriate through paralled pursuits of similar objectives."

Chinese Foreign Minister Huang Hua, with whom Brzezinski met immediately upon his arrival yesterday afternoon from Tokyo, brought up Peking's long standing conflict with Moscow in his remarks.

"The shadow of social-imperialism [by which the Chinese mean the Soviet Union] can be seen in almost all the changes and disturbances in almost every part of the world," he said.

Informed sources said that the subject of Zaire almost certainly came up in the private conversations between Huang and Brzezinski as the national security adviser began his three-day visit to China.

The New China News Agency said two days ago that the rebellion in Zaire's Shaba Province had been "engineered by the Soviet Union and executed by Cuban mercenaries."

Brzezinski, the highest-ranking U.S. official to visit China since Secretary of State Cyrus Vance's trip 10 months ago, said the United States had "made up its mind" on normalizing U.S.-Chinese relations.

President Carter is "determined to join you in overcoming the remaining obstacles in the way to full normalization of our relations within the frame-work of the Shanghai communique" of 1972, Brzezinski said.

A thousand miles to the south, in Taiwan, President Chiang Ching-kuo chose as the new premier of the Taiwan government a man who has been unusually frank about the problems the island country will face if Washington moves its embassy to Peking, Washington Post correspondent Jay Mathews reported.

Sun Yun-suan, the new premier succeeding Chiang, was trained at the Tennessee Valley Authority during World War II, and has often visited the United States.

Sun has warned that only could Taiwan's security suffer from a switch in U.S. recognition, but the island's economic health also could be affected, Mathews noted.

Peking had demanded that the United States drop its diplomatic and military ties to Taiwan as part of full normalization of relations with Peking.