Reports in Italy claimed that United sent scouts to watch Ogbonna during Sunday's match between Roma and Torino. The 24-year-old defender impressed but 15th-placed Torino slipped to a 2-1 home defeat to the Rome-based club.
He insists he's focussed on helping Torino stave off relegation, but reports continue to link the young defender with a move to the Premier League.
And he admitted he is flattered to be mentioned as a potential Manchester United transfer target, although he played down talk of a move anytime soon.
Speaking to Sky Sports Italia, Ogbonna said: "If they came to see me, this obviously flatters me, but right now I don't think about the future.
"I live in the present, and just like all my teammates, I think only to Torino's salvation."
Ogbonna shined during last season's campaign, earning a call up to Cesare Prandelli's Euro 2012 squad. After coming through the youth ranks at the club, he's gone on to become one of the most sought after young defenders in European football.
United have been linked with a number of centre-backs, as they look to revitalise an experienced but ageing back-line.
Phil Jones and Chris Smalling are both expected to take on greater responsibility next season, while Nemanja Vidic and Rio Ferdinand remain two of the most impressive defenders in the Premier League.
But United will look to plan ahead, and Ogbonna seems to be one of the players under consideration to replace Ferdinand long-term.