Quite probably what your boyfriend has in mind is working as a bi-lingual secretary - which is certainly a possibility and reasonably well paid. Teaching English is, unfortunately, not a terribly lucrative job - thanks to salaries being undercut by anglophones teaching "informally" (i.e. with no teaching qualification).

You could simply try applying for a few jobs based on job postings in newspapers or online job sites and see what response you get. Career paths in France tend to be less flexible than in Britain, Ireland or the US - i.e. it's harder to cross over into a new line of work if you don't have the precise academic credential they expect. But networking (or "who you know") is the usual approach to job hunting in France. Don't turn down any leads or contacts your boyfriend might have to offer.
Cheers,
Bev