This page https://www.expatica.com/fr/moving/visa ... ce-200692/
says:
Setting up a company in France while being part time resident in the same country. What are the chances of being a French citizen ? How long do we have to stay in France annually to be considered as a resident?Permanent residence and citizenship
British citizens who have been living in France for five continuous years on a renewable carte de séjour can apply for a 10-year renewable permanent residence permit (carte de resident). You will need to meet certain criteria to qualify for a carte de resident. Typically this includes having sufficient French language skills and proof of integration into French society.
If you are the spouse of a French national or foreign national with a carte de resident, or are the parent of a French child living in France, you can apply for permanent residence in France after three years.
You may also want to consider applying for French citizenship after living in France for five years. As with permanent residence, you will need to fulfil certain eligibility requirements. However, you will obtain additional rights as a French citizen, including the right to a French passport. Our guide to French citizenship and permanent residence explains more.