The French striker believes he touched the ball when Frank Lampard sent a free-kick into the area in the 76th minute but also says he is unsure what happened after.
"I don't know, I think I touched the ball but maybe John will claim it. I touched the ball but I don't know what happened after that, we will see on TV," Anelka said.
Captain John Terry, who was credited with the goal, also admits he doesn't really know what happened but would claim it anyway.
"I got a touch on it but I think maybe Nico got the second touch - but I'm still claiming it!" Terry said.
"I was watching the stats before the game and I've never scored against them home and away, but Nico's been brilliant today so he deserves it."