"Huddersfield ...has a zero-tolerance stance towards any form of discrimination. We will give our full cooperation to the police to deal with this matter in the strongest possible way," a club spokesman said on Wednesday.
Billing, who has made 26 league appearances for Huddersfield this season scoring two goals, received backing from anti-discrimination group Kick It Out, which called on social media companies to tackle online abuse.
"Players should be protected from abuse on and off the pitch," it said in a Tweet.
Huddersfield, bottom of the league with just 14 points from 30 matches, travel to West Ham United on Saturday.
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(Reporting by Shrivathsa Sridhar in Bengaluru; Editing by Christian Radnedge and John Stonestreet)
