Koukash sacked former coach Phil Veivers after five games and the names of Noble and the well-regarded Australian, Brian Smith, have emerged as the front-runners.
In a live round-table interview with the BBC, which also had Noble as a participant, Koukash said: "This club, if managed properly over the next four years, could become the biggest club in the country. I am after the best coach I can get my hands on. Brian fits that bill and I would be honoured if we could work something out and Brian could become our coach."
Noble has not held a full-time coaching position since he left the Crusaders at the end of the 2010 season, but remains one of the most successful tacticians of his era.
He won three Super League titles with Bradford and held the Great Britain role for three years and is expected to be at Salford`s game with St Helens on Friday.
"Salford are the nearly team, really," he said. "They need a vision and with that vision it (success) is achievable.
"They`ve always been the nearly men but when you look at the city of Salford and Manchester, it`s massively important to the game that we`re strong there."
Koukash also raised eyebrows when he tried to snare veteran forward Adrian Morley from his contract at Warrington for a career swansong with his hometown club.
His failed attempt was met with criticism by Wolves coach Tony Smith, brother of Brian Smith, but he admits he still wants to sign the 35-year-old.
"Adrian is an iconic figure of this game and I know I upset a few people when I made an enquiry, but he is the ideal person for us," he said. "He is a Warrington player, but if he becomes available I`ll be the first person to knock on his door."