I'm a native French, and the french wiktionary seems to agree with me
https://fr.wiktionary.org/wiki/bite https://fr.wiktionary.org/wiki/bit : Both are pronounced \bit\. You can listen to the pronunciation and it's exactly the same. I remember a few jokes around this in university. I've also found this where a few people suggest pronouncing "bit" exactly like "bite".
I don't really know what else to say other that I'm French, went through university in France and we had this confusion.