The Celtic striker scored in the third minute of the game but was removed from the action with 12 minutes remaining, and appeared to have a tantrum on his way back to the dugout.
The scores were locked at 1-1 and Deila had decided that John Guidetti was their best chance of grabbing a late winner, which he ultimately failed to do.
Speaking after the match, Deila explained he has no problem with the way Griffiths reacted and thinks that no player should be happy about coming off in a game.
"He looked unhappy when he was substituted," said the Celtic manager.
"That is something I understand. He should be angry every time he is taken off."
Since then he has spent two games as an unused substitute before coming on for the last 15 minutes against Partick Thistle for John Guidetti, who has failed to score since March 28 when he notched against Dundee United.
With the Bhoys chasing a win, Deila could have opted to go with two up front and put the Inverness defence under heavy pressure, but the Norwegian thought it was more important to keep the shape of the team.
He said: "We could have gone to two strikers, and I was thinking about that, but we wanted to keep our shape," he reflected. "Maybe that was wrong. Maybe we should have attacked more."
Celtic lacked their usual tempo and attacking threat, and a change in formation may have been the solution with the usual plan not producing much in the way of chances.
Deila has yet to settle on a striker, but his favoured option may become apparent in Sunday’s Scottish Cup semi-final against Caley Thistle when he will most likely deploy his most trusted striking option.