There is no racial problem with people of Asian origins. One of my students was Indian. She was fluent in French, with only a slight accent, and she almost looked like a southern Basque or Mediterranean local girl so was totally accepted and married a French man. The problems that do arise are mainly caused due to the fear inspired by Muslim North Africans particularly in the poor suburbs of large cities such as Marseille, Bordeaux, Lyon and mainly Paris. If your features and colouring were similar to theirs, there might be a certain reserve, and women might keep their distance. Paris society is very difficult for anyone, even if they are white, to get into if you have not got the right connections, have no friends or acquaintances there, and, whilst there is a large number of non-whites, they tend to inter- mix with people of their own culture. Parisians can be far from "nice" to anyone including other French people, but within professional circles they are much more accommodating to foreign colleagues than the ordinary man in the street who is sick to the back teeth with hapless, rude or arrogant tourists.
As Jean-Pierre said above, it is extremely difficult for an American citizen, or any non EU citizen, to be allowed to work in France unless he has absolutely magnificent qualifications or skills which are in demand there. One of the first requisites is that one should be fluent in French, and that the post solicited cannot be filled by a citizen of the EU. It should be applied for from the USA and supported by a firm on French soil.
However, unlike many uneducated people from the USA who know no French and think it is easy just to move and do any job, I notice that you are at present working for a French company. If their headquarters are in France and they support an internal transfer on the grounds that your knowledge is indispensable to the smooth running of the firm, this would be the key to moving to France, but it would probably only be for three years, at least initially. If you are fluent in French and know the ropes, this is all grist to your mill.
Have a look at the website of the French Embassy in the USA, and investigate if your company would be prepared to offer you an internal transfer. If they are, you stand a chance of getting a long-stay visa for three years.
<!-- m --><a class="postlink" href="http://www.diplomatie.gouv.fr/en/france_159/entering-france_2045/index.html">http://www.diplomatie.gouv.fr/en/france ... index.html</a><!-- m -->
