Relocation is not the subject of the thread, but trust me, forget about it. If you want to continue trading, you will have to relocate. Most eurozone countries have some procedure( evasion fiscale en France , different from fiscal fraud ) which permit to consider any worldwide entity owned by a resident as a french one if it was created for fiscal reasons only.
Edit: Well, in fact if you are located in France and create a US company in the US for the purpose of trading US exchanges, I think you should be fine, but not if you create a belize entity for trading in the US. However, I wouldn't risk it...
Edit: Well, in fact if you are located in France and create a US company in the US for the purpose of trading US exchanges, I think you should be fine, but not if you create a belize entity for trading in the US. However, I wouldn't risk it...