He claimed the first of his hat-trick of European triumphs two years ago when Real defeated local rivals Atletico Madrid on penalties in the final.
Zidane said he felt like it was the right time for him and the club to make a change.
Capello believes a deal could be done this summer, telling Sky Sport Italia: "I think that Cristiano Ronaldo wants to go back to Manchester, to play for United and being coached by his compatriot Mourinho".
Zidane is now understood to be one of Chelsea FC's top candidates for the job, but if he rules himself out of the running, the Blues will turn to fellow Frenchman Laurent Blanc, according to the same report.
Pochettino also embraces the youth team set-up at clubs he has been a part of, with the Spurs boss regularly attending the club's junior matches to keep abreast of the rising stars who may be pushing for first team chances.
"Pochettino was quoted by the Spanish press as having said: "When Real Madrid call you, you have to listen".
Former Arsenal manager Arsene Wenger, Italian Maurizio Sarri and Liverpool's Jurgen Klopp have all been linked to Madrid, alongside Pochettino. I know it's a odd moment for everyone involved, but I think it's the right decision.
"We need to relax and take things as they come".
"We can't be thinking too much and worrying about what is happening tomorrow".
Everton are leading a group of Premier League clubs in the race to sign Norwich's 21-year-old England Under-21 midfielder James Maddison, who was player of the year at Carrow Road this season. "You think yeah - but you are not me". "So he has for sure been getting in touch with possible coaches and getting their opinion of coming to Real Madrid".
Spanish sports daily AS reported that Pochettino's new contract does not include an agreement that he can leave Tottenham if Real make an approach for him.