Actually, the Americans were influenced by the Dutch, not the French:
"the United States and Canada, the term "cookie" is used for what the British call "biscuits." This is because the word "cookie" was introduced to the English language in the 18th century by Dutch immigrants to America, and it became the dominant term for sweet, flat baked goods in these regions. In the UK, "biscuit" refers to a wider range of baked goods, including what Americans call "crackers" and "cookies".
Here's a more detailed explanation:
Dutch Influence:
The word "cookie" comes from the Dutch word "koekje," which means "little cake".
American Adoption:
When Dutch settlers came to America, they brought their language and culinary traditions, including the word "koekje." This word was anglicized to "cookie" and became the standard term for what the British call "biscuits".
British Usage:
In the UK, "biscuit" refers to a broader category of baked goods, including both what Americans call "cookies" and "crackers".
Regional Differences:
Even within the UK, there are regional variations. In Scotland, "cookie" can also refer to a plain bun, according to Oxford Reference.
"Cookie" in Britain:
While "cookie" is primarily used in the US and Canada, it is also used in Britain to refer to a larger, softer, and chewier biscuit, often with chocolate chips or other chunky toppings