Club captain Ramos is out of contract at the end of the season and stated on Thursday that there was "nothing new" to report around a possible extension.
With Madrid said to be keen to sign Ramos to a new deal but only on reduced wages due to the impact of the coronavirus pandemic, Paris Saint-Germain have been linked with the 34-year-old.
Head coach Zidane admitted on Friday he has little knowledge of Ramos' contract situation, although he would be keen for the Spain veteran to stay in the capital.
"I hope that Ramos remains at the club, he's a key player with everything he's done in the past and hopefully he can remain here and play."
However, Zidane appears confident his compatriot has no particular desire to move elsewhere and only has positive things to say about life at Madrid.