The former all-rounder denied reports emanating from England that his wife Jemima Khan and he had decided to take custody of the 12-year-old girl who was born out of wedlock.
"This is absolutely untrue," said Imran who is wedded to another British Jemima Goldsmith.
Imran said Tyrian was in London with her grandmother and aunt and it was up to them to decide what needed to be done.
"Right now everyone is in shock," he said.
Imran also told the Daily Times newspaper from New York that Tyrian had been made to believe that he was her father, but did not elaborate.
On Sunday, quoting Sita's friends, London tabloid The Mail reported that Imran would take custody of Tyrian following the sudden death of her mother.
The 51-year-old cricketer-turned-politician refused to acknowledge Tyrian, born in 1992, as his child until Sita won a paternity suit in 1997.
Sita's will stipulated that Imran got "full and complete parental rights over Tyrian if anything happened", her friend was quoted as saying by the paper.