Newspapers in Italy have reported on interest from both Juventus and Liverpool in the 23-year-old Nigerian.
"I am flattered by the interest from clubs, but I will continue to work hard for Torino in Serie B," said Ogbonna.
"Liverpool is a dream club. If they are interested in me, that is awesome. I love the Premier League and one day I might play in that league, we all know that it is a fantastic league."