Corney last week confirmed that he would not be selling to Koukash, a horse-racing magnate who also owns Super League club Salford Red Devils, because of his intention to move Latics away from Boundary Park and into a new stadium.
The Oldham chairman is content with the club's current abode, which is currently under construction to have a new stand fitted, and wants any potential investors to continue his work rather than starting afresh.
"I have made it public before that I am looking for somebody to invest in the club, the team and stadium. That is still the case," Corney told Oldham's official website.
"I am not looking for somebody to come in and make a clean sweep and do it his way as I believe we are on the right track.
"If they share our vision and buy into it, then I will happily talk to them and bring them on board."
Latics currently have the youngest manager in the Football League in Lee Johnson and Corney has spoken of his desire to extend the 32-year-old's contract.
With Johnson at the helm and the Financial Fair Play regulations designed to level the playing field forthcoming, the chairman is buoyant about the future.
Corney added: "I think the future looks bright as we have a good, young manager and a good youth academy and a lot is going for us.
"I also believe the next 10 years will be smoother than the last 10, though that doesn't mean we have an automatic right to get to the Championship.
"The game is changing and becoming more favourable to the clubs; in the fact wages are coming down and the Football League has suddenly realised it has been operating an insolvent, bankrupt, poorly run organisation and they have decided to do something about it.
"It needed an overhaul and I think it is happening."
- Sports & Recreation
- Football League