Senegal midfielder Diame ended a two-year stay at Upton Park when he joined Hull on transfer deadline day.
However, he believes a move to a bigger club could have been possible had he not been asked to fulfil a host of roles by West Ham boss Sam Allardyce.
"At West Ham I was shunted around all the different positions," Diame is quoted as saying by the Daily Star. "I remember one time I had to play as a striker.
"That was not good for my career. I wanted to play for a club that is high in the Premier League table.
"At least with Hull I will be certain of playing in my favoured role.
"I should have left West Ham a long time ago, as with them I wasn't permitted to play in central midfield.
"I wasn't able to get the biggest clubs interested in me, as when they came to watch me I'd been put in a position that was not mine.
"You lose your bearings when you get shunted around all the different positions."
Diame was one of four deadline-day signings for Hull boss Steve Bruce, who also brought in Abel Hernandez from Palermo for a club-record fee and secured loan deals for Gaston Ramirez and Hatem Ben Arfa.
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