Zidane stood down five days after his team missed out on the LaLiga title to Atletico Madrid, finishing second in the table, two points off top spot.
Madrid ended the season empty handed but have achieved plenty of success during Zidane's two spells in charge, which were separated by a chaotic nine months in which Julen Lopetegui and Santiago Solari both struggled to get to grips with the job.
It is unclear whether Zidane wants to work again as a coach, or whether he has other plans, but there was an outpouring of thanks from senior Madrid stars on Thursday.
Ramos said on Instagram: "ZZ, the one and only. I wish you all the best. You deserve it, you've earned it.
"Enjoy life, enjoy family. Big hug, mister. Thank you, @zidane."