Rubiales' return to Spain came two weeks after investigators searched 11 locations.
Spanish police on Wednesday briefly arrested disgraced ex-football chief Luis Rubiales in connection with an alleged graft scandal at the RFEF football federation when he was president.
Former Spanish football federation president Luis Rubiales must appear in court on Friday in connection with the investigation into his forcible kiss on Jenni Hermoso's lips after the Women's World Cup final.
Spain men's coach Luis de la Fuente said Monday he "respects" former football federation president Luis Rubiales' decision to resign after causing outrage by kissing a Women's World Cup player on the lips.
The already-suspended chief sent his resignation to the federation's interim president, he said in an open letter, and also explained his decision to eventually step down in a television interview.
Hermoso gave her testimony on Tuesday and the complaint will be processed "as soon as possible", the prosecutor added.
Atletico Madrid's Alvaro Morata read out a statement on behalf of the entire team congratulating their female counterparts on "a historic" achievement.
FIFA president Gianni Infantino said Thursday that Luis Rubiales' kiss on the mouth of Spanish women's football star Jenni Hermoso "should never have happened".
The Spanish football federation's regional presidents asked suspended chief Luis Rubiales to resign on Monday after he forcibly kissed Women's World Cup player Jenni Hermoso on the lips, sparking worldwide outrage.
Spanish football federation president Luis Rubiales was heavily criticised on social media on Sunday for kissing player Jenni Hermoso on the lips during Spain's Women's World Cup celebrations in Sydney.