Ronaldo, who returned to Manchester United from Juventus earlier this summer, is said to be a huge fan of Chiesa, according to Italian source Calciomercato.
Chiesa, a 23-year-old midfielder, joined 'The Old Lady' on a two-year loan from Fiorentina last summer.
Since his arrival in Turin, the 23-year-old forward has appeared in 50 matches across all competitions, directly contributing to 27 goals.
Despite the fact that the attacker's loan term with the Serie A giants is scheduled to expire next year, it is widely believed that the Serie A giants would make his transfer permanent if certain criteria are satisfied.
Surprisingly, after swiftly establishing himself as one of manager Massimiliano Allegri's most trusted attackers, new rumors claim that the Italy international might be leaving the Bianconeri soon.
Although Ronaldo has shown his support for his old comrade, a trade for Chiesa would not be cheap.
Calciomercato says that a prospective transfer for one of Europe's most promising players may cost the Red Devils' hierarchy in excess of £85 million (€100 million).