The 29-year-old Celtic forward claimed on Tuesday he would be putting his family and club career first after announcing he no longer wished to add to his 12 Scotland caps.
The decision raised some eyebrows with the Scottish Football Association's performance director, Mark Wotte, who questioned the player's "pride, desire and ambition" on his Twitter account, an assertion refuted by Hoops skipper Scott Brown.
Speaking at Hampden Park ahead of Sunday's William Hill Scottish Cup final against Hibernian, the Parkhead boss added his contribution to the debate.
"I tried to talk him out of it, obviously," he said. "I think he has a lot to offer still but I respect his decision.
"I mean, it is great for me and Celtic that we have a player who won't be travelling with his country and who will be fresh to play for his club but at 29 he still has plenty to offer.
"He is at the peak of his game, he is in great condition, he has had a marvellous season.
"I spoke to Gordon Strachan about it, who was disappointed. But looking at Gordon's comments he has left the door open for Kris.
"If ever there comes a time when he may have a re-think then he may go back. He has a young family as well and I think that takes its toll.
"Scott Brown made a very good point the other day. We stay in hotels home and away and we have had a European campaign and internationals on top of that. You are away from your family three or four days a week sometimes."