Snodgrass only joined the Hammers back in January but has failed to make a positive impression in east London and now looks set to leave after just a few months.
Speaking to ITV Racing, Redknapp let slip that he would like to give Snodgrass the chance to drop down to the Championship.
“I think Snodgrass might leave West Ham,” Redknapp said. “Aston Villa and one or two are in for him, Sunderland.
“I’d like him as well at Birmingham. Good player.”
The Scotsman scored 7 goals in 20 league appearances for Hull last season before making the switch to West Ham, where he failed to score in 15 appearances in the Premier League.
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