Can this floor be cleaned

Is there a way to "clean" the floor in photoshop without getting rid of the sturcture (little stones) of the floor?

Welcome aboard!
The only thing that comes to mind and that would come close would be to sample a reasonably clear part of the floor (e.g. the lower left corner), then paste that as a pattern, warp it to create the required foreshortening, then paste it onto the actual image. Then make a curves adjustment layer to mimic the variation in illumination and selectively blend that in. Quite a bit of work, not guaranteed to yield a satisfactory result.

This is one of those cases where actually cleaning the floor and making a new photograph is the easier option.