A delegation from the club's three main fans groups - the Rangers Supporters Association, Rangers Supporters Assembly and Rangers Supporters Trust - met with Mather as well as finance director Brian Stockbridge and director of communications Jim Traynor on Thursday afternoon.
Mather is currently battling a group of shareholders - led by billionaire businessman Jim McColl and former Blue Knight Paul Murray - who want Mather and Stockbridge removed from the board.
The club will hold its first annual general meeting since it was liquidated on October 24, although a hearing at the Court of Session on Monday could see that shareholder summit postponed.
In a statement given to Press Association Sport, a spokesman for the RST confirmed the supporters had sought answers on recent events at Ibrox.
He said: "Today the Rangers Supporters Association, Rangers Supporters Assembly and the Rangers Supporters Trust had a meeting with club Chief Executive Craig Mather, Finance Director Brian Stockbridge and Director of Communications James Traynor.
"A full and frank discussion took place across a wide ranger of topics including the IPO process and costs, management remuneration, financial performance and outlook/future investment, AGM and resolutions and media and communications.
"A set of minutes will be circulated [to our members] in due course.
"The board members also undertook to provide further information before the AGM to respond to a number of questions raised."