The 17-year-old is highly rated at the Premier League club and featured for the first team in pre-season friendlies against Real Madrid (opens in new tab), Bayern Munich (opens in new tab), Inter Milan (opens in new tab) and Juventus (opens in new tab).
The Italian champions were impressed by the Republic of Ireland youth international and will continue to track his development, Calciomercato (opens in new tab) reports.
Parrott impressed on his debut for the Irish Under-21s during the recent international break, scoring three goals in two games against Armenia and Sweden.
He has been prolific at youth level for Spurs (opens in new tab) too, notching 22 strikes in 31 matches between U18, U19 and U23 levels.
The striker is yet to make his first-team debut for the north Londoners, but boss Mauricio Pochettino has urged patience.
"He's going to be involved sometimes - perfect. He's going to be involved with the U23 - perfect. Sometimes he's going to train with us - good," the Tottenham manager said (opens in new tab).
"I think now is a process that he needs to be relaxed. If we put too much pressure [on him] we're going to push him to make a mistake and that is what we don't want."
QUIZ! Can you name the 40 players who have committed the most Premier League fouls ever? (opens in new tab)
WHO? 12 players you won't believe won the Premier League Player of the Month award (opens in new tab)
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Alasdair Mackenzie is a freelance journalist based in Rome, and a FourFourTwo contributor since 2015. When not pulling on the FFT shirt, he can be found at Reuters, The Times and the i. An Italophile since growing up on a diet of Football Italia on Channel 4, he now counts himself among thousands of fans sharing a passion for Ross County and Lazio.
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