Gen Saiyud Kerdphol, leader of the group, told the Daily News that the group would ask commanders of the armed forces to seek the royal discretion.
It will submit a letter to the armed forces, as well as the Supreme Command, on Monday.
"The commanders have acknowledged the request. While it's not clear whether the move can defuse the crisis in time, I'm confident it's the best way to end the crisis," he said.
The Man of State group was formed on Jan 28. Its members believe the current crisis needs to be solved by the intervention of the army and His Majesty the King.
The group consists mainly of retired high-ranking generals, government officials and academics. They include former air force chief ACM Gun Pimarnthip, ex-army chief Gen Wimol Wongwanich, former naval commander Adm Vichet Karunyavanij, ex-naval chief of staff Gen Suravudh Maharom, lawyer Amorn Chantarasomboon, political science scholars Pramote Nakhonthap and Chai-Anan Samudavanija, and former foreign affairs minister Surapong Jayanama.