Wolff was angry with the way rules were applied in Abu Dhabi.
Mercedes will not appeal against the Abu Dhabi Grand Prix results.
The decision by the governing body of the sport to conduct a detailed analysis of the end of the race was seen as tarnishing Formula 1's image.
Mercedes said they would hold the FIA accountable.
Red Bull's Max Verstappen overtook Lewis Hamilton's Mercedes on the last lap to win the drivers' title.
The team argued that race director Michael Masi did not apply the rules correctly.
The Australian did not follow standard protocol when restarting the race after the safety-car period. His decisions left Hamilton, who had led for the majority of the race and was on course for the world title, as a sitting duck on old tyres, with Verstappen behind him on fresh rubber.
Mercedes said they had been in constructive dialogue with the FIA since the race in an attempt to create clarity for the future.
The team was satisfied with the decision to analyse what happened in Abu Dhabi and to improve the robustness of rules, governance and decision making in Formula 1.
They said they welcomed the invitation to take part in the investigation.
We would like to express our sincere respect for your achievements this season, Mercedes also offered congratulations to Verstappen and Red Bull. You made the F1 championship title fight truly epic.
More to come.
