I am facing what is maybe a common situation, which I struggle to find the answer to. I am non-EU citizen (American) living and working in France on the work permit. I recently got married to a French citizen. I was then told to change the status of my visa from working to marriage. I find it rather irrelevant. What would you advise? Is it obligatory to change the visa status after marriage? Is there a specific law I can refer to? Ideally, I would like to remain on a working visa.
Before I answer your question I would like to address a vocabulary issue. You no longer hold an immigration visa. You received one when you first came to France as an immigrant, but now you hold a titre de séjour –most likely, based on what you say, a carte de séjour. Therefore your question relates to a change of immigration status.
First, even though you are married to a Frenchman, you are indeed allowed to decide that your main reason for staying in France is your work. In other words, there is absolutely no reason or, more importantly, obligation for you to change your immigration status simply because you have married. It is not a matter of doing something right or wrong; it is all about a choice you make.
Second, note that the carte de séjour mention vie privée is issued when an immigrant is married to a French person AND lives with the person full time. So if you do submit a request you must make sure to include what are called preuves de vie commune. These are administrative documents rather than personal items that would show the reality of the romantic ties.
Third, I should point out that if the immigrant changes status and the marriage breaks up before three years have elapsed, regardless of how many years they may have lived together beforehand, there is a very high chance that the foreigner will lose the right to live in France.
Therefore, I would advise you not to change your status. I believe this is the answer you were looking for. Some situations may look really good until you start investigating the details. Do not be fooled by appearance, especially if you are a foreigner.