Ashley Cole is alleged to have been subject to racial abuse during Friday's FA Cup third round tie between Swindon Town and Manchester City.
The former Arsenal and Chelsea left-back was part of ITV's commentary team and was reportedly targeted by a Swindon fan at the County Ground.
'We are aware that one person was subject to racial abuse at the County Ground following the Swindon Town v Manchester City game,' Supt Phil Staynings of Wiltshire police said in a statement.
'We have already commenced an investigation, obtaining statements and securing CCTV.