Rotherham United's Kirk Broadfoot has been banned for 10 matches by the Football Association after he was found guilty of misconduct.
McClean, 26, is a Catholic while Broadfoot is a Protestant.
Rotherham are not planning to comment on the suspension.
It is reported that Broadfoot was unhappy with the award of a free-kick against him for a foul on the Republic of Ireland international from which Wigan scored, and afterwards accused McClean of diving.
The FA said in a statement: "The charge was that during a league fixture between Rotherham and Wigan Athletic on 14 March 2015 Broadfoot used abusive and/or insulting words towards a member of the opposition, in breach of FA Rule E3(1).
"It was further alleged that the breach was an 'aggravated breach' as defined by Rule E3(2).
"Broadfoot was also fined £7,500 and ordered to complete an education programme."
Rule E(2) involves a reference to "ethnic origin, colour, race, nationality, religion or belief, gender, gender reassignment, sexual orientation or disability".
It is the longest ban to have been handed out by the governing body for verbal abuse.
Then-Liverpool striker Luis Suarez was banned for eight matches in 2011 for racially abusing Manchester United full-back Patrice Evra.
|Longest bans handed out by Football Association|
|9 months: Manchester United's Eric Cantona for his 'kung-fu' style kick in 1995|
|9 months: Chelsea keeper Mark Bosnich who tested positive for cocaine in 2003|
|8 months: Rio Ferdinand of Manchester United for missing a drugs test in 2003|
|12 games: Joey Barton of QPR for two counts of violent conduct against Manchester City in 2012|
|11 games: Sheffield Wednesday's Paolo di Canio for pushing over referee Paul Alcock in 1998|
|10 games: Former Southampton player David Prutton for shoving referee Alan Wiley in 2005|
|10 games: Rotherham defender Kirk Broadfoot for abusive/insulting words against Wigan in 2015|
|9 games: Paul Davis of Arsenal for punching Southampton's Glenn Cockerill in 1988|
|8 games: Liverpool's Luis Suarez for racially abusing Patrice Evra in 2011|
|5 weeks: Man United's Roy Keane for comments made in his autobiography in 2003|