And supporters are set to show their backing for the South Africa-based businessman at the game with Dunfermline at Ibrox tomorrow.
The Union of Fans - an umbrella organisation comprising six supporters' groups - will distribute 30,000 blue cards to spectators at the SPFL League One match.
And they will be asked to hold them up in the 18th and 72nd minutes of the match and "paint Ibrox blue" to underline their backing of the former director. The Union want the current board to accept the wealthy Scot's proposal to inject fresh share capital into Rangers.
Union spokesman Chris Graham said: "The club clearly needs investment and Dave King has stated his willingness to provide it.
"We hope that fans will take the opportunity to show their support for someone with a track record of supporting Rangers both personally and financially.
"Hopefully the board will realise the strength of feeling on this issue and adopt a less adversarial approach in their future dealings with Dave King.
"Fans should not underestimate the power they have to push for positive change at another critical time for the club."
King has spent the last two days in London speaking to institutional investors in Gers about whether they would back his plans for the Ibrox club.
The 58-year-old, who previously invested £20million of his personal fortune in the Light Blues, will now meet with the Union and the current board of directors over the weekend.
He is urging fans to pool their season ticket money and only release it to the club on a "pay-as-they-play" basis when their questions are answered and their demands are met.
The Castlemilk-born financier has vowed not to return to his adopted homeland until a trust for pooling season ticket money is legally in place. King's visit follows the news that Rangers had agreed a £1.5m loan for "working capital" with shareholders Sandy Easdale and Laxey Partners, secured on Edmiston House and the Albion car parking facilities.
The revelation that Laxey Partners will make a £150,000 profit on the loan when it is repaid in September has also angered fans.
Wealthy Rangers fan George Letham has volunteered to loan the Ibrox club the money on better terms and officials are believed to be considering his proposal.
Documents lodged with Registers of Scotland, the country's official land and property register, have shown that Rangers will use season ticket money to repay the loan.