However, Partridge's agent Neil Sang believes West Ham would be an ideal move.
"Rotherham are a progressive club under a good manager but Richie has nothing to prove at that level after doing so well at Coventry two seasons ago," Sang said.
"I've also heard a whisper Nottingham Forest are interested but it would be obviously up to the player to mull things over before making a decision.
"I would expect Liverpool will be fine with whatever Richie decides but perhaps a team like West Ham might be better for Richie, simply because of Rotherham's current plight."