Arter rejoined his international colleagues on Tuesday for the first time since making himself unavailable for last month's games against Wales and Poland, following a summer bust-up with assistant manager Roy Keane.
While McClean welcomed the Bournemouth man back with open arms, he admitted that he wouldn't have done the same.
"I'd tell Harry myself that I don't agree with that. You'd have to put a gun to my head for me to not show up and play for Ireland," he said.
"But obviously everyone is different, and he's here now. He's a team-mate. He's here to play for Ireland. He's got my backing, 100 per cent.
"I'm pleased to see him back. He's a good lad, he's a good player and at the minute, we need all the good players we can get.
"Two men having a row - that's unheard of. So what? Someone had a go at someone.
"We're all grown men at the end of the day. You just get on with it. The morale in the squad is good. It's always been good."
Ireland will take on Denmark on Saturday.