The 20-year-old midfielder is among the most highly-rated prospects in South American football.
Inevitably, a number of eye-catching displays have seen him linked with a move to Europe.
Heavyweights from England and Spain are said to have Cirigliano in their sights, but the youngster insists no official approaches have been made to his current employers River Plate.
“I don’t know where the information comes from,” he told devotoradio.com.ar.
“First I heard that it was Manchester City, then Manchester United that were interested in me, but there has never been any proposal.
“I also heard that I was wanted in Spanish football, even that I had an agreement in place with Real Madrid, but that isn’t true.
“I want to stay in Argentina and at River.”