It is widely expected United will confirm David Moyes as their next manager, possibly as early as Thursday, although Everton chairman Bill Kenwright said on Wednesday night he had no knowledge of a deal being done. Some have viewed the task as impossible given Ferguson's staggering collection of trophies.
But Gill does not agree, and he told MUTV: "It is a dream job. We knew this day would come. We have been preparing for it. The new manager will inherit a great squad and infrastructure off the pitch, with a great staff."
He added: "He will be walking into a difficult situation in terms of the number of trophies, but the positive of also having the support of the Manchester United family."
Gill said Ferguson's successor would be expected to take an interest in the club from top to bottom.
"The qualities we are looking for are the ones that have been inherent at Manchester United for many years," said Gill.
"Our two most successful eras were with managers who got involved with all aspects of the club, from the youth team to the first team, and had that degree of loyalty and understanding of the football club.
"Clearly he has to have the requisite football experience, both in terms of domestic and European experience. It is a small pool but we will move forward."
The major drawback for Moyes is that his European experience is limited to just 26 games, fewer than United have managed in the last three seasons alone.
However, Moyes' name is openly being discussed in the United dressing room and it now would be a sensational development if the 50-year-old were not installed, even though Ferguson is not standing down until after his final game at West Brom on May 19.
Source: PA
Source: PA