Referee Kevin Friend denied Avram Grant's men two first-half penalties but that did not stop the Hammers faithful from baying for the manager's blood at the final whistle.
The Seasiders remained 14th after the draw whilst West Ham went equal with Wolves on points but stayed bottom due to goal difference.
Venue: Villa Park, Birmingham Crowd: 31,194 Referee: Kevin Friend Yellow cards:WHU - nil BLA - Charlie Adam 28'
West Ham Robert Green (gk), Matthew Upson, Daniel Gabbidon, Herita Ilunga, Lars Jacobsen, Mark Noble, Scott Parker, Luis Boa Morte (Cole 71'), Kieron Dyer (Barrera 18'), Victor Obinna, Frederic Piquionne (McCarthy 83')
Subs - Marek Stech (gk), Pablo Barrera (18'), Carlton Cole (71'), Benni McCarthy (83'), Jonathan Spector, Radoslav Kovac, James Tomkins
Blackpool Matthew Gilks (gk) (Kingson 46'), Ian Evatt, Craig Cathcart, Stephen Crainey, Neil Eardley, Charlie Adam, David Vaughan, Eliot Grandin (Phillips 59'), Luke Varney, DJ Campbell (Harewood 67'), Gary Taylor-Fletcher