The Blackpool board are believed to have rejected Ince's letter of resignation, with the club reluctant to make a third permanent appointment since Ian Holloway left in November 2012.
Assistant manager Steve Thompson, who took temporary charge on two occasions last season, is the 8/1 favourite to inherit the job on a permanent basis, while Gus Poyet is priced at 10/1.
Sky Bet Football Trader Chris Spicer said: "The Blackpool board seem incapable of maintaining a working relationship with the first team manager and now Ince's discontent is out in the open.
"It seems only a matter of time and we believe Thompson could finally be given his big chance, though Poyet is available and has proven he's the best young manager in the Championship."
Simon Grayson, Stuart Pearce, Steve McLaren and Nick Barmby are each available to back at 12/1, while former boss Ian Holloway, now with Crystal Palace in the Premier League, is an outside chance at 50/1.