Barton, 32, left Queens Park Rangers on a free transfer earlier this summer having seen his contract at Loftus Road expire following the club's relegation.
The former Manchester City and Newcastle United midfielder is now on the lookout for a new club, but given his advancing age and controversial demeanour, Barton has so far found it difficult to get his way back into football.
As reported by Sky Sports though, West Ham have recently been attempting to sign Barton to add another option to their midfield - and the veteran even completed a medical with the Hammers on Tuesday ahead of his proposed move to Upton Park.
However, the Daily Mirror believe that West Ham have now cancelled their deal for Barton - due to Hammers fans protesting the move.
Barton is certainly a divisive figure and has been for some time now, and the complaints from West Ham fans - largely on Twitter, directed at co-chairman David Gold - have now resulted in the Hammers pulling out of a move.
West Ham are looking for another veteran Premier League midfielder having seen Alex Song return to Barcelona after his loan spell in East London, but it seems that Barton won't be that man.
Moving for a less controversial player would certainly appease Hammers fans, whose anger at a possible move for Barton has certainly been displayed over the last 24 hours.