The Blues chairman admits the year-long racism row has taken its toll on the QPR defender and his brother, and has offered them an apology for the pain caused
Buck had earlier confirmed that Terry would remain Chelsea captain, but he recognised the strain the ordeal had put on the Ferdinand family, telling Talksport: "I saw the effect it [the trial] had on them, and it wasn't good."
The apology comes after a year of increasing animosity between the Ferdinand family and John Terry.
In the period following the match at Loftus Road last October, relations have soured between Terry and Anton's brother, Rio.
On the first day of Terry's court case over the incident, the Manchester United defender tweeted about the movie "Liar Liar" in what was widely seen as a veiled shot at his former England defensive partner.
More recently, Anton refused to shake Terry's hand prior to the QPR-Chelsea match in September of this year.
The Chelsea chairman hopes this apology, coupled with Terry's own statement of contrition in the aftermath of the FA's decision to fine him £220,000 (€260,000) and ban him for four games, will draw a line under the incident.