The game with La Rochelle was played behind closed doors and will be reviewed.
The European Professional Club Rugby made the decision to move the game.
After a week of cold weather, there were concerns over the pitch.
The cost of the move was estimated by the CEO.
The decision was wrong, according to the head coach.
In the build-up to the match at Kingspan Stadium, Northern Ireland had experienced sub-zero temperatures and Ulster had used frost covers and heating to keep the playing surface warm.
Petrie explained on Saturday that the referee found some parts of the pitch to be unsafe when he inspected it on Friday.
The chief thought a further inspection at 10 o'clock this morning would be a good way to go down.
The game was moved to Dublin due to safety concerns and will be played behind closed doors on Saturday.
A large official delegation from La Rochelle was allowed to attend the match despite no fans from Ulster.
Petrie tweeted that the decision to allow the delegation entry was the decision of the EPCR and Ulster "would be subject to legal action for compensation if they weren't permitted entry".
La Rochelle ran out 36-29 victors, which gave them two victories in their first two games.
The team's focus is now firmly on preparing for next weekend's URC fixture against Connacht, so we will not be making any further comments at this time.
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