Tevez looks set to leave Manchester United at the end of the season after failing to agree a permanent deal.
Tevez has been linked with several clubs, including Manchester City, Liverpool, Juventus, Tottenham and Real Madrid.
“I first made an approach four months ago to express an interest in Carlos,” Real sporting director Predrag Mijatovic told the Daily Mail.
“We have spoken since with his representatives, but he’s informed us that he wants to stay in England.
“Carlos says it’s important to his family to stay in England, so it seems he will either stay with Manchester United or find another club.
“It takes a special type of player to play for a club like Real Madrid or Manchester United, and clearly Carlos has those qualities.”