However, Martinez says he has no intention of moving to Liverpool - or anywhere else for that matter - at the present time.
"I am happy in San Sebastian," he told skysports.com.
"It is normal that I am happy with this news, but those things depend on the club.
"Now my head is only focused on helping Real for us to make sure we are not in a dangerous position in the table."
Meanwhile, a club source says, should Liverpool or any other interested parties make a formal approach for Martinez, it would not be considered until the summer.
"We know about the presence of scouts, but our position is clear - the subject of a sale will not even be looked at until the summer," the source said.