I've never found either quark or cottage cheese in France. The closest to cottage cheese is "faisselle", available in 0% fat, but it's not lumpy like cottage cheese. I saw some faisselle in Aldi the other day, which was marked as "recette anglaise", but didn't buy any as it is full fat. It's in small tubs with a red label on it. I did wonder if it was lumpy.
For any recipe that calls for quark, I use fromage blanc, but I do make my own, so can make it thicker than the normal runny stuff. If anyone's interested, it's a "Lagrange" fromagère and it is fabulous! The fromage blanc comes out like mascarpone if you leave it to drain long enough.