The Maid (1991) on Netflix

Plot summary

Anthony Wayne runs mergers and acquisitions at a bank in New York, and a bank in Paris has hired him to replace a man who left suddenly. Nicole Chantrelle works there and expected the promotion; her boss C.P. Olivier recruited Anthony for the post rather than consider her. Anthony's job does not start for a month, and in Paris he catches sight of Nicole and trails her to a domestic help agency, where she is pleading for a replacement. Her young daughter Marie has driven every nanny away. Anthony appears at Nicole's door as a maid called John, and she hires him on the spot.