Father-of-five Liu Shaoyo, who was 56, was shot dead on Sunday night in Paris’s 19th arrondissement (district).
Police say he attacked an officer with a sharp object as soon as he came to the door and the officer was only saved by his bullet-proof vest. Another officer then shot him dead.
One of the man’s daughters told French media that her father, who spoke little French, had gone to the door holding a pair of scissors he had been using to prepare fish.
China’s foreign ministry lodged an official protest, urging a full French investigation and for Chinese people’s “security and rights” to be protected.
China’s intervention is unusual, says the BBC’s Hugh Schofield in Paris. The government in Beijing has spoken out in the past about the threat to Chinese tourists in Paris from criminal gangs but this is the first time it has implicitly criticised an action by French police.