The 2010 champions were rocked on Tuesday when it was announced head coach Julen Lopetegui would join Real Madrid after the finals.
Unwilling to let Lopetegui stay on for the tournament, the Royal Spanish Football Federation sacked the 51-year-old on Wednesday and placed former captain Fernando Hierro in temporary charge.
And Pique, a world and European champion with Spain, is taking inspiration from Michigan's title 29 years ago, when the Wolverines sacked Bill Frieder - who had announced he would take up another coaching position after the tournament - before his replacement Steve Fisher guided the team to glory.
"University of Michigan. Basketball. 1989. NCAA Champion. It wouldn't be the first time it happened," Pique posted on Twitter.
"All together, now more than ever."
Universidad de Michigan. Baloncesto. 1989. Campeón de la NCAA. No sería la primera vez que ocurre. Todos unidos, ahora más que nunca. — Gerard Piqué (@3gerardpique) June 13, 2018