Kane, 27, was in excellent goalscoring form for Spurs last season as he scored an impressive 33 times in 49 appearances across all competitions.
The Tottenham star captured his third Premier League Golden Boot last season after beating Liverpool winger Mohamed Salah in the goalscoring chart.
However, Kane's future at the Premier League club remains uncertain after he told Spurs that he wanted to leave in the summer.
The England captain, whose Tottenham deal will expire in 2024, has been linked with Premier League champions Manchester City and Manchester United.
Speaking in his column for The Daily Telegraph, Fabregas claimed that Benzema is "not going anywhere" and is "playing very, very well" after his form for France at Euro 2020.
However, the 34-year-old Spanish midfielder believes that Kane would be the right choice to replace Benzema if the Frenchman "ever left or ever started to slow down a little bit."
Fabregas wrote: "For a long time, I have felt that Harry Kane would be the perfect replacement for Karim Benzema at Real Madrid.
"Of course, Benzema showed again at the European Championships that he is not going anywhere and that he is playing very, very well, but the fact I even think Kane is capable of taking over from him in Madrid shows how highly I rate him.
"The pressure at Madrid, like it was at Barcelona, is not something every player could cope with. But if Benzema ever left or ever started to slow down a little bit, then Kane would be the right guy for them.
"Even without knowing him very well myself, you can see that he has a good mentality and you hear from other people that he works and trains hard.
"Jose Mourinho, as people saw on the documentary, always talks about Kane very, very highly. He has what you want from your captain and he has what you need to be a top player."
Featured Image Credit: PA
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