Thanks guys for the answers.
@MarkerInbound
The sign off by an instructor was also what I read in the FAR's. I contacted Oklahoma FAA licensing branch and that was their answer:
"You must pass a practical test showing competence in pilot operations appropriate to the B-737 you do not have to complete approved course if you have met the requirements for flight experience.
Best Regards,
Airmen Certification Branch
TL"
@NGFellow:
Could you PM me the contact details of the German FAA examiner or the French examiner. Thank you very much.