To the best of my knowledge, there is no phenotypical method to distinguish NDM producers from other carbapenem-resistant bacteria.
NDM belongs to the MBL group and as such should be susceptible to aztreonam. However, NDM is not the only MBL enzyme lurking around.
Moreover, it is pretty common that carbapenem-resistant bacteria carry not only a carbapenemase gene but also one ore even more ESBL genes. Since ESBL hydrolyse aztreonam, one might end up with a aztreonam resistant NDM/MBL producers.
There are phenotypic assays available to discriminate between carbapenemase producers and bacteria, being carbapenem resistant due to other mechanisms (Carba-NP, for instance), but these are commercial and do not discriminate by enzyme within the carbapenemase group. Depending on the actual ressources available, you may think about a homebrew PCR assay (several are published) which allow detection of the most relevant carbapenemase genes at low cost.