Rodriguez was accused of using racist language after the incident in a Premier League match last month.
In the wake of the FA announcement, Rodriguez took to social media to reiterate his claim that he was innocent, announcing that he would take legal action to protect his reputation.
Rodriguez was also seen pinching his nose after the clash, with the incident reported to the FA by referee Martin Atkinson.
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The England worldwide, 28, is reeling after the FA charged him with "using abusive and/or insulting words which included a reference to ethnic origin and/or colour and/or race". First the referee told me to get back in position. "We can not accept this behavior in 2018". I asked him to repeat what he said and I think he realised what he said and tried to limit the damage. But I said, "You can't say that".
Rodriguez, though, has denied this and is understood to be upset by the accusation.
Cameroon defender Bong posted a since-deleted comment on his official Twitter feed after the game, saying: "Some words should not be said on a football field and specially not by players".
"As a Club we remain fully supportive and committed to backing Jay throughout this process", said Richard Garlick, Albion's Director of Football Administration.