For applying please use form 0870a_en („Participant Master Data“, September 2019 version). The application must bear an official signature and be sent, accompanied by the necessary documents (note the information in the completion instructions), to „Stammdatenmanagement“ in Dresden, for example by fax to:
+49 351 44834 444 or
+49 351 44834 442
or by e-mail to: antrag.eori@zoll.de
If the import / export declaration is made in Germany, the German customs office will not demand an EORI number when you prove that you have applied for the EORI number. For this purpose, please give a copy of the application and confirmation of receipt to your representative (customs agent/agency or a freight company).
The form and more information on the application procedure can be found here:
https://www.zoll.de/EN/Businesses/Movement-of-goods/Import/Duties-and-taxes/EORI-number/Requesting-EORI-number-amending-operator-particulars/requesting-eori-number-amending-operator-particulars.html
As far as this answer contains legal statements, the information can only be given to the best of our knowledge and does not establish any legal claims.