WASHINGTON—President Trump said Tuesday that he would support the continued export of U.S.-made jet engines to China, taking sides in a continuing dispute within the administration about restricting high-tech exports over piracy concerns.

“We don’t want to make it impossible to do business with us,” Mr. Trump said in a series of tweets Tuesday morning. “That will only mean that orders will go to someplace else. As an example, I want China to buy our jet engines, the best in the World.”

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