Garry O'Connor's injury-time winner gave Hibs their first-ever triumph in the Highland Capital in 10 attempts as his angled shot squirmed past the outstretched arm of Inverness goalkeeper Ryan Esson before finding the bottom corner.
With Hibs having had to endure late pressure from Caley Thistle, Calderwood was just delighted to see his side claim their first three SPL points of the new season.
He said: "Our goal probably came in a part of the game where we had not played well.
"I felt in the first half we played some decent stuff and had opportunities, but the fact their goalkeeper was voted man of the match probably tells its' own story.
"In the latter stages the game opened up more than I would have liked and we made some poor choices.
"Fatigue and inexperience played a part as well in coming to the fore late on, but I think the victory rewards all the hard work we've done so far this season and that's what really got us through the second 45 minutes."
For Caley Thistle manager Terry Butcher it was a second successive defeat since the new season started, but he chose to remain upbeat, despite the loss.
He said: "I'm disappointed that we did not get the three points, but I felt we got better the longer the game went on.
"We had players who had not been in the team before and haven't really had a pre-season, guys like Owain Tudur Jones, who I think had only done 10 days work before he came here.
"It will take time for the players to build up an understanding, but I was really pleased with all of them. I didn't think any of them had a poor match."
Source: Team Talk
Source: Team Talk