Joe Gorman, a former Republic of Ireland youth international, reportedly sent the public message on Twitter following a documentary screened on Sky presented by Ross Kemp on sectarian disorder and conflict in Northern Ireland.
Gorman allegedly wrote: “Ross Kemp in Belfast talking about the troubles, wouldn’t you just love to open up on all them orange men.”
The club are carrying out an investigation over the incident.
Users of the social network were widely critical of the tweet, with some calling for the 19-year-old’s arrest.
Inverness chairman Kenny Cameron said: “As soon as we were made aware of the allegations, and following a discussion with the player we can confirm that he has been suspended by the club pending an internal disciplinary investigation”.
Before ths suspension was announced, a spokeswoman for the club said: “We’re aware of the tweet. It’s a serious breach of club policy so it will be dealt with accordingly.”
The tweet, and Gorman’s account, have both since been deleted.