keep:
There is no "getting around this." Every foreign built aircraft imported in the US, new or used, has some form of conformity statement requirement provided the state civil aviation authority has a bilateral agreement with the US/FAA. And France/Germany (Airbus) does.
Who is complying with your Export C Of A? They should know or have access to all the requirements.
RVDT is correct, the conformity statement must come from the civil aviation authority like the DGAC. I do not know how the EASA figures into this. But who ever told you to see Airbus for the statement is not correct.
There are a few FAA guidance documents in the form of Advisory Circulars that can help you understand the US export/import process. Plus you can contact a FAA IFO for more info.
However, it is very important to get your paperwork complete and legal BEFORE you ship aircraft to the US. Once here if the paperwork is not correct will cause you grief beyond belief.
Good luck.
W1