Sport in Spain has been on hold since March due to the coronavirus pandemic and there is no date scheduled for the resumption of LaLiga or the postponed Copa final.
Clubs were granted permission to return to hold individual training sessions from Monday, provided strict protocols were followed.
However, the Basque rivals will request that measure does not apply to their Copa final, which was initially scheduled to take place at Estadio de la Cartuja in Seville on April 18.
A joint-statement published by Athletic and La Real read: "The presidents of Real Sociedad and Athletic Club, both finalists of the Copa del Rey for the 2019-2020 season, after meeting with the president of the Royal Spanish Football Federation [RFEF], have agreed to ask RFEF for the final to be played with open doors, in public and in an official way, on a date to be determined and agreed between the three parties involved.
"The desire and will of both clubs has always been, now and before, to play and enjoy the final along with the supporters. This is what we would like most. A final to be lived with our supporters in the stands.
"At the same time, Real Sociedad and Athletic Club want the RFEF to guarantee that the final will be played as an official competition and will, therefore, be considered an official title.
"To this end, they have asked the general secretariat of the RFEF for the delegate committee of the RFEF General Assembly, whose next meeting will be held on Friday, to adopt a calendar amendment agreement that will enable the final to be held as an official title with the support and warmth of the fans of both teams.
"With this decision, Real Sociedad and Athletic Club wish to highlight one of the most prestigious and traditional sporting events that can be played around the world, unique in this edition, and to do so together with their fans, supporters, subscribers, members and partners, the true essence, and raison d’être of this wonderful sport."