The Mirror says he has put Premier League clubs on alert by reportedly checking out English schools for his son.
The Portugal superstar is thought to have asked Real Madrid to lower his £900 million buyout clause to just £90m.
He is now considering a move to England to give seven-year-old son Cristiano Jr an education "fit for a king".
Only a private school similar to £17,600-a-year Thomas' Battersea prep in South West London - where Prince George attends - will do for Ronaldo, according to the report.
He is also a father to six-month-old twins Eva and Matteo, and daughter Alana Martina, who girlfriend Georgina Rodriguez, 22, gave birth to last month.
Ronaldo, 32, is said to be house hunting in London and Surrey having secretly visited the UK last month.