'possible method' is correct and usable in written English.
You can use it when you want to refer to a proposed way of accomplishing something. For example: "The article outlined a few possible methods that could be used to reduce traffic congestion."
And in one situation, they might have accidentally stumbled upon a possible method.
This was presented to us as a possible method of keeping Miles alive long enough to get a donor heart.
Our study is exploring the potential of one possible method of redressing this longstanding public health issue in British society.
THE best possible method for getting health insurance under the current system, of course, is to be gainfully employed by a company that offers coverage.
Kerry Sleeper, assistant director of the FBI's partnership engagement office said: "In mid-March, an outside party demonstrated to the FBI a possible method for unlocking the iPhone.
In his speech,, which announced the evacuation, Kan said that even though "every possible method has been used to cool down the reactors … radiation has spread".
"Is there a better way to manage Twitter overload and what's the best possible method of doing it in a 'Metro-Style' app?
"The Jury" is bound to leave viewers convinced that jury trials are the worst possible method of determining another human being's innocence or guilt.
The diagrams of the balloons seem to show a possible method for slowly dispersing some type of biological or chemical agent from the air.
Posters, leaflets, radio, text messages and TV spots – we are resorting to every possible method to reach communities far and wide," said Berenger Berehoudougou, west Africa director of the aid organisation Plan International.
The Bush administration said Monday that it had, for now, decided against attempting to undercut Beijing's Olympic bid as one possible method to pressure the release of the American crew members.
