It confirmed the termination of the consultancy agreement with Charles Green, a decision which was unanimous and takes effect immediately.
The statement continued: "However, the Board wish to make it clear Mr Green was not the only point on the agenda at today's meeting.
"The Directors can state categorically that they have always been open to adding to the current size of the Board and are actively seeking a new chairman, one who will bring instant and significant benefits. In particular it will be necessary to connect strongly with Corporate Britain if the Board's ambitions for Rangers are to be fulfilled.
"This Board has been working tirelessly to find an intelligent solution to the request for a general meeting and all of the Directors are open to sensible and reasonable additions. For instance, the Board are not against Frank Blin becoming a Director but do have reservations about other proposals.
"Even so, the Directors remain hopeful compromise can be reached and that everyone, the fans especially, will see this Club emerge a much more stable and vibrant operation.
"It is the Board's belief that with the right level of understanding from all sides Rangers will prosper and be stronger than at any time in its history. This is what the Directors are committed to achieving through the work of an enhanced but perfectly balanced Board."