Former club president Ramon Calderon believes the Spurs striker would be the perfect replacement for Karim Benzema.
Zinedine Zidane's Real Madrid travel to London on Wednesday for the Champions League clash at Wembley.
Kane showed his quality in Spain on Tuesday during Tottenham's 1-1 draw with Madrid.
"I think he should look at himself, not others," the Chelsea manager said.
Real Madrid host Tottenham Hotspur in the Champions League group stage on Tuesday night.
The Spanish giant takes on Tottenham Hotspur at home in the Champions League on Tuesday.
Jurgen Klopp's team is in need of a win after drawing with Sevilla in the first game of Group E.
The Portuguese coach already has an eye on the business his team will do next summer.
Liverpool faces Spartak Moscow in the second game of Group E.
Manchester United eased into the fourth round of the competition with a 4-1 win at Old Trafford.
The Chelsea forward has been talking about the impact of the Italian manager, and how quickly he helped him.
Ousmane Dembele moved to the Camp Nou from Borussia Dortmund this summer for a club record fee.
Jose Mourinho has had scouts out in Europe already planning for next season.
Jurgen Klopp's team faces Sevilla at Anfield on Wednesday in the Group E opener.
The Red Devils won the first game of the Champions League group stage Tuesday night, but Mourinho still wasn't happy.
Tottenham must face Real Madrid and Borussia Dortmund.
Coutinho has been the subject of £100 million-plus offers from Barcelona.
Liverpool plays Hoffenheim in a qualifying match on Tuesday evening.
Mourinho wanted four signings at Old Trafford this summer, and he already has three.
Arsene Wenger's team has made two signings so far this summer.
Is the Portuguese boss just a symbol?
Mourinho Felix was 79 when he passed away in Setubal, Portugal.