Last year Frimpong was fined £6,000 by the FA for branding a Twitter user "scum yid", with the player's account holding almost 800,000 followers.
The Gunners youth graduate also has a YouTube channel and an official website, despite having started just three Premier League matches for his boyhood club.
Arsenal have made no official comment on the matter, but it is understood they will remind Frimpong of his responsibilities.
Frimpong signed off on Twitter last night by saying: "Look what ever you read tomorrow has majorly been twisted. Is a joke what people will do to start controversy goodnight people."