Curbs did not want to sell defenders Anton Ferdinand and George McCartney.
He told The Sun: “The selection of players is critical to a manager and I had an agreement with West Ham that I alone would determine the composition of the Upton Park squad.
“But the club continued to make significant player decisions without involving me. In the end, such a breach of trust and confidence meant that I had no option but to leave.
“Ferdinand had made it categorically clear to me that he wanted to stay.
“Then I said no other players would be leaving — but McCartney was sold on Monday.”