There have been suggestions he might leave West Brom in the January transfer window but he explained on his Twitter account that he wanted to stay in England.
"Thanks to Lazio and all the other clubs who wanted to sign me these last days. See you this summer if I decide to continue (playing)," added Anelka.
"But the question is why should I leave my club and England? I'm happy here and I did nothing wrong. So now it's time to stay focused on my football with my club and I will try my best on the pitch like I always do."
Anelka said the gesture, which has been described as an inverted Nazi salute, was a tribute to his French comedian friend Dieudonne M'Bala M'Bala who invented it.
The striker, who is available for selection until the FA makes its decision, has received a 34-page document explaining the allegations against him and has requested a personal hearing.
(Reporting by Josh Reich; editing by Tony Jimenez)
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