The 31-year-old suffered a thigh injury just weeks after his arrival from Marseille last August which left him sidelined for over four months, and has subsequently been restricted to just two Premier League appearances for the Hammers this season.
Diarra claims he has "wasted his time" following his move to Upton Park and revealed Allardyce never explains his team selection.
"Yes, I want to go. It's breaking point. Today, I want a real challenge and I will not get it at West Ham," Diarra told L'Equipe.
|ALLARDYC RUES MISSED CHANCES
|7/1||West Ham are 7/1 with bet365 to beat Arsenal at the Emirates next week
"With the current coach [Allardyce], it is impossible. There's no dialogue, no explanation. I have to go. Some clubs have approached West Ham and I'm not afraid to leave. It will always be better than here. At West Ham, I wasted my time."
Diarra believes he was lured to Upton Park by a string of false promises and claims agents have made money "off his back" in the deal that brought him to the Premier League.
"The West Ham staff speeches was so positive," he added.
"At 31, I wanted to find another league. Marseille needed to reduce their payroll. So the move suited everyone.
"West Ham came to get me. They commissioned an officer who pulled the big game he landed at Marseilles in private jet and promised me the moon. The speech was attractive. It was England, London, West Ham, a club popular with a true identity.
"It was an opportunity to settle in the Premier League. I did not ask. I trusted.
"After a few weeks, I realised that there were a lot of lies. Some have made money on my back."