This paper uses an approach recently suggested by Gabaix (Eonometrica 2011) to investigate for the first time the role of idiosyncratic shocks to the largest firms in the dynamics of imports by firms from manufacturing industries. For Germany we find evidence that imports are power-law distributed and that the distribution of imports in the industries can be characterised as fat-tailed. Results show that idiosyncratic shocks to very large firms are important for the import dynamics in 2010/2011 but not in 2009/2010.