Scotland were without Brown as they claimed their first win against Italy in Rome last time out, the skipper having been dropped after the opening loss in Ireland.
In the same weekend France's unbeaten start - they had defeated England and Italy previously - came to an end with a 27-6 defeat to Wales at the Millennium Stadium.
Brown is back after a two-game absence and captain again as France travel to Scotland and is adamant his players won't approach the clash with Les Bleus with the wrong attitude.
"The French will be an incredibly tough test. Yes, OK, they didn't play that well against Wales a fortnight ago but I also think that Wales were very strong that night," said Brown.
"But in saying that, after the first two matches everybody was tipping France for the Championship, so they're an incredibly tough side and we know that we need to be at our best to challenge them.
"There is no doubt I was very disappointed because I absolutely love playing for Scotland and it is something I would never take for granted. But it is fantastic to be back in the side.
"I watched the Italy match at home. I was absolutely thrilled. The boys were under a lot of pressure that week but I thought the way they played over there to secure the first win in Rome for quite a number of years was very impressive to watch.
"I would have loved to have been involved the same as every single player in the Scotland squad but I was absolutely delighted for all the boys because I know the pressure they were under and I thought the way they responded was fantastic."