The meeting took place just a day after Ally McCoist left his post as Rangers manager and was put on 'gardening leave'.
Further chants of "sack the board" and "scumbags" were aimed at chairman David Somers, chief executive Derek Llambias and James and Sandy Easdale.
Somers was barely able to be heard over booing as he delivered his statement.
In it, the chairman revealed the club hope to launch a new share issue to raise much-needed funds.
Somers also said he was surprised by the timing of McCoist's resignation, insisting the former manager is "a legend and I will never say a bad word about him".
There was laughter from the gathered shareholders as Somers said the board "have got more work to do" and that the club "need to rebuild the board with suitable people".
Somers asked fans to "refrain from any disruptive behaviour", adding: "If anyone gets too rowdy, I will have to ask you to leave."
There were, however, more jeers when he announced he would take two questions at a time, and said: "When you get to be chairman of Rangers you get to do it your way."
Former Newcastle United managing director Llambias, a long time friend and associate of Rangers shareholder Mike Ashley, was appointed chief executive last week.
At the AGM he said the club will continue to cut costs and improve revenue streams, with every penny going on to the park.
Llambias was introduced to booing but he did prompt some applause following his address.
He claimed he had helped the St James' Park club "stand on its own two feet" and would roll up his sleeves to get Rangers back on their feet.
"Not everything I do will be popular, but everything I do will be in the club's long-term interests," said Llambias.
On the departure of the manager, Llambias said it was "McCoist's choice, not ours", and added that caretaker manager Kenny McDowall has the club's "full support".