Berbatov had been linked with Galatasaray but the Turkish giants seemingly refused to meet United's asking price for the 31-year-old.
But Hughes has played down the rumours, as he told Sky Sports News when asked about Berbatov after Tuesday's friendly against Wycombe: "There are a lot of names flying around.
"That is a new one on me, in fairness.
"At this time of year, there are a lot of names flying around. But we prefer to get the job done, get the business done, and then we announce it."