Ameobi has been linked with several clubs, and Roeder has been chasing him since he moved to Carrow Road last season.
But, just when a deal seemed to be done, Ameobi prefered a move to West Brom ... who have since changed their mind on the former England Under-21 international.
Ameobi, himself, had second thoughts when he was expected to join Stoke City, and now Roeder has called "time" on a player who obviously is half-hearted at joining his club.
So that just leaves Ipswich Town, who could be back in the race, after West Brom pulled out of a £3m deal to sign the Newcastle United striker.
Roeder Gives Up On Ameobi - Despite Having The Dosh!
Baggies boss Tony Mowbray has decided against moving for the 26-year-old after convincing Kevin Phillips to have one last crack at the Premier League with the veteran front man set to sign a new one-year deal at the Hawthorns.
Blues boss Jim Magilton has been alerted to the latest twist in the Ameobi saga and plans to hold talks with the player this week.
Ameobi, who has 12 months left on his contract with Newcastle, must now decide if he is willing to drop down to the Championship to reinvigorate a career that is on the slide.