Hamilton, who plays his club rugby for Montpellier, believes it is crucial that Scott Johnson's side are aware of the individual brilliance of the French side.
For Hamilton the French have the ability to turn it on like no one else and the 31-year-old knows the Scots have to be on their guard if they are going to win.
Scotland suffered defeats in their opening two RBS 6 Nations matches this year but managed to snatch a win in Italy last time out.
The victory was a massive confidence boost and Hamilton thinks his side are going into Saturday's clash with a renewed energy.
"French rugby can be different at times," said Hamilton.
"Montpellier go away to Leicester and are 20 points down after 13 minutes and we nearly win the game.
"That is all down to the French flair, the fact that they can just turn it on.
"Look at France against England. They didn't deserve to win that game but they did because of individual brilliance, and I think we have to be conscious of that fact.
"They might be going through a tough time, but they still have the players who can score from anywhere on the pitch."
The Scots were staring defeat in the face in Rome last week but a last gasp drop goal from Duncan Weir gave them their victory.
And Hamilton believes that moment was massive for everyone involved.
"For Duncan to get that drop goal at the end was huge, not only for him but for Scottish rugby," he said.
"We have a bit of confidence from the Italy game, we will take that into this game and confidence is a huge factor in sport."