Brie, what sort of contract do you currently have? I see you are based in France - if you have a French employment contract, then what they are doing is illegal.
Your company must either offer you "licenciement economique", in which case they have to justify why your post is being removed and pay you compensation, or else they have to pay themselves for you to retrain for a different post.
Even if your company flies on a non-French AOC and you are on a non-French contract, then you would have grounds for legal action against them in France.
What you do does depend on whether you want to burn bridges with them or not. Unfortunately the industry is small, and taking legal action can end up harming your career in the long run.
Bloody unfair - we really need a union for bizjet pilots!