Not sure who told you that, but I think you'll find it's not nearly as simple as that. If you establish "residence" in France, you will be liable for taxes on your worldwide income as a resident.

Now, the matter of establishing residence is not terribly straightforward. If you spend 183 days a year in France, it's pretty much assumed you are resident there. But if you spend less time than that, there are plenty of other indicators they will look for - and having a girl friend living there in a house you regularly return to is considered "strong evidence" of your residence there.

Where you deposit your salary and what currency it's in have no bearing on the residence issue.
Cheers,
Bev