Les Blues claimed their second World Cup title after beating Croatia in the final in July.
Antoine Griezmann and Kylian Mbappe both netted four goals, but Giroud failed to score a single one, similarly to Stephane Guivarc'h in France's 1998 triumph.
"It necessarily results in a little frustration," Giroud told Le Parisien.
"But it has largely been filled by the title. The collective takes precedence over individuals.
"I often had to do a little bit of different work, make sacrifices to help the team hold the lead. In fact, you have less energy to be decisive in the last third.
"Except against Belgium in the second half, I do not have the memory of having missed many opportunities. I even produced two assists.
"My zero goals does not stop me from sleeping. In the street people tell me: even if you have not scored, you have been important.
"We might not have been world champions if I scored. Statistics can be used for anything and everything. I was decisive in another way."