Odemwingie, 34, spent the second half of last season at Championship side Bristol City from Stoke City.
Now Stoke boss Mark Hughes has decided to end the former Super Eagles star’s stay at the club permanently.
Also released are Kolo Toure, Victor Valdes and Emmanuel Adebayor.
Toure, 35, leaves Liverpool after three years, playing his final game in last month’s Europa League final defeat.
Goalkeeper Valdes, 34, will be released by Manchester United having played twice in the past 18 months, along with 22-year-old midfielder Nick Powell.
Adebayor, 32, leaves Crystal Palace having signed for the club in January.
Manchester City will let 35-year-old defender Martin Demichelis go after three seasons at the Etihad Stadium, while midfielders Mikel Arteta, 34, Mathieu Flamini, 32, and Tomas Rosicky, 35, will not return to Arsenal next season.
Everton’s released list includes two players who have spent more than 15 years at Goodison Park, 35-year-olds Tony Hibbert and Leon Osman, while Steven Pienaar, 34, brings to an end a second spell with the Toffees.
Goalkeeper Mark Schwarzer, 43, leaves Premier League champions Leicester City.
The BBC reports that clubs have also informed the Premier League of those players who will remain, with Chelsea set to retain 82 players for next season.