Ronaldo said he was calm over "any and all investigations" as he had a "clear" conscience over the allegation.
The Juventus and Portugal forward has denied any wrongdoing after being accused by Kathryn Mayorga of raping her in Las Vegas in 2009.
"Rape is an abominable crime that goes against everything that I am and believe in", said the 33-year-old Juventus forward.
"My clear conscious [sic] will thereby allow me to await with tranquillity the results of any and all investigations". "Fake, fake news", Ronaldo said in an Instagram live video on Sunday, dismissing the claims.
Mayorga filed the suit September 27 and detailed the assault as well as claims Ronaldo's "team" threatened her with public ridicule and influenced the police investigation.
Complicating matters, Jacinto Rivera, a spokesman for the department, told AFP Mayorga did not identify Ronaldo by name at the time of her complaint and was "uncooperative".
Speaking to reporters in Nevada on Wednesday, lawyer Leslie Stovall said the woman suffers depression and post-traumatic stress linked to the alleged incident, but was encouraged to launch legal action after seeing others do the same as part of the #MeToo movement. Mayorga, however, contends in her lawsuit that both a nurse at the hospital and a Las Vegas police detective discouraged her from filing charges against Ronaldo because of his fame.
Mayorga, who was not at the press conference, has left Las Vegas to escape the attention surrounding the case, Stovall said.
In her lawsuit, Mayorga says she later accepted a $375,000 payment in exchange for her silence - but now, she wants that agreement voided.