The Everton board has been considering options since the collapse of the Kings Dock project in February 2003.
The choices are:
* Moving to a new stadium
* Sharing a stadium
* Redeveloping Goodison.
Mr Wyness said: "All three options are still available."
A shared stadium with Liverpool has been on the agenda for the past few years, backed by the Northwest Development Agency and Liverpool's new council leader Warren Bradley.