The Football Association will not be taking disciplinary action following an investigation into a confrontation between Liverpool captain Jordan Henderson and Arsenal defender Gabriel.
The FA spoke to both players and six others who were close to the incident.
Video footage was also reviewed and evidence was collected from independent linguistics experts.
"None of the witnesses heard the alleged comment, and the player accused strenuously denied the allegation throughout," the FA said in a statement after its "full and thorough investigation."
"Whilst The FA is entirely satisfied that the allegation was made in good faith, it is equally satisfied that there is no case to answer.