Ronaldo's agent claims three more Premier League clubs have shown an interest in the Brazilian striker.
The 32-year-old is currently building up his fitness in his homeland after leaving AC Milan at the end of last season.
Manchester City considered a bid for the former Real Madrid ace back in September before appearing to cool their interest.
However, Ronaldo's representative Fabiano Farah has suggested City are still keen, along with three other teams in England.
"For the last three or four months, Ronaldo has been doing two daily sessions of intense rehab and physio, each of up to three hours, six days a week," said Farah in the Sunday Mirror.
"Besides Manchester City, whose interest is already public, three other Premiership clubs have made contact with Ronaldo and are pursuing me.
"I've worked with Ronaldo for more than seven years and I can tell you that for him to play in the Premier League would be the ultimate chapter of his career."
Ronaldo is currently training at Flamengo, who have shown an interest, while Brazilian rivals Corinthians are also weighing up an offer.
Corinthians manager Antonio Carlos says the club's president Andres Sanchez has recently met Ronaldo to discuss a possible deal.
Antion Carlos said: "The president of Corinthians has had meetings with Ronaldo, the last one was last week."