The report was made after the Foxes' match against Brighton and Hove Albion.
Officers have released an image of a man they want to speak to after reports of homophobic comments being made inside the King Power Stadium.
A third party made the report following Leicester City’s game against Brighton and Hove Albion on Saturday 21st of January.
PC Simon Chamberlain, the investigating officer, said: “We are working with Leicester City Football Club following the report and are appealing for public help to identify the man pictured as he may have information about the incident.
“If you recognise him and know who he is – or that person is you – then please get in touch.”
You can pass on information by visiting https://www.leics.police.uk/ro/report/ocr/af/how-to-report-a-crime/ and quoting reference 23*50293.
Alternatively call 101.