The challenge upset the West Ham players, with Lucas Neill in particular taking issue with Pantsil.
Villa took the lead through a John Pantsil own goal before Andrew Johnson stooped to head the Cottagers level.
John Pantsil's own goal gave the Reds their second win in a week but Fulham made several good openings.
BBC: Dalglish concedes Liverpool 'were lucky' to beat Fulham
Soon after, Fulham's John Pantsil followed through on keeper Robert Green who had bravely palmed Jimmy Bullard's low free-kick away.
Blackpool's patient passing approach and attacking verve was rewarded when John Pantsil turned Luke Varney's shot into his own net with 19 minutes remaining.
Stockdale parried Varney's shot as it flashed across the face of goal, but the incoming Pantsil could only divert the ball into his own net.
Pantsil missed out on the competition because of a ligament injury, but now has his sights firmly set on an outstanding showing in South Africa.
BBC: World Cup 2010: Ghana's John Pantsil targets semi-final
The visitors made the worst possible start when Ghana defender John Pantsil headed into his own net in the third minute under pressure from Gabriel Agbonlahor.
Things got worse for West Ham when substitute John Pantsil had to go off with concussion after landing badly on the left side of his face.
Zoltan Gera replaced the stricken Zamora and although John Pantsil rifled a shot over the bar, Fulham offered little threat for the rest of the half.
Liverpool's winner spun off the foot of Fulham's Pantsil as he attempted to clear a loose ball and the defeat leaves Fulham only four points above the relegation zone.
BBC: Dalglish concedes Liverpool 'were lucky' to beat Fulham
The home side were also denied what appeared a good shout for a penalty when a Mexes shot from a corner seemed to be blocked by the arm of defender John Pantsil.
And it was Drogba who hauled his side back into the game when he exploited the space at right-back, after Pantsil had been forced off injured, and headed in Branislav Ivanovic's far-post cross.
Both sides made changes at the break, Fulham bringing on Chris Baird for Pantsil and Wolves introducing Steven Fletcher for goalscorer Van Damme, and the hosts were level within four minutes of the restart.
But West Brom's defensive problems got worse on the half hour mark when Marek Cech was caught on the knee by John Pantsil's trailing leg and the Slovakian had to be replaced by Nicky Shorey at left-back.
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