A snap appeared on the internet this week that appeared to show McCoist singing karaoke at an Ibrox bash in the aftermath of Raith Rovers' shock extra-time win.
And, speaking ahead of the Gers' Scottish Cup clash with Dundee United today, the manager said: "I'll tell you right now, if anyone in this room thinks for a minute that we weren't hurting or in a lot of pain with that result, then I think we are all in the wrong game, I really do.
"What happened on Sunday happened on Sunday, but the point that has to be made just for the record is that we were all suffering greatly on Sunday and we didn't do anything different than we have done in cup finals for the last 30 or 40 years - that's all I would say on it, nothing more.
"We were all unhappy, very, very unhappy. Every one of us, fans, players, staff, every one of us."
McCoist has come under huge criticism from supporters in recent days as pressure has mounted on him.
But the Ibrox gaffer insists he doesn't fear for his position after calls for his head.
He said: "I think there has always been a lot of opinions and differing opinions on results, performances, what should be happening, what shouldn't be happening.
"As long as we can treat the victories and defeats with the same level of sense, that is our job. We have to look at it in a positive and realistic way and that is what we will continue to do.
"It is not for me to say (if my job is on the line).
"I think your job is on the line every time you have got a game with Rangers to be honest. I certainly haven't thought about that and I am not thinking about that.
"I am just thinking about our boys turning up, putting in a good performance and hopefully reaching a Scottish Cup final."