That is true for fresh water fish, not necessarily marine fish. The following are two exerts taken from the second Randy Holmes article I posted earlier:
Marine species are less susceptible to nitrite toxicity because chloride (at 19,350 ppm in seawater) outcompetes nitrite for the same uptake mechanisms. Nevertheless, it is possible for some marine fish to take up nitrite via both their gills and their intestines after swallowing seawater. For example, when exposed to 46 ppm nitrite in seawater, the European flounder (Platichthys flesus) takes up 66% of its nitrite via intestinal routes.24 Further, its internal nitrite concentration was found to remain below the ambient nitrite level in the water. At these concentrations, there was some alteration of internal biochemical parameters (such as an increase in methemoglobin levels from 4% in nonexposed fish to 18% of hemoglobin in exposed fish). Nevertheless, there were no mortalities under these conditions, and the difference between this result and what is often observed in freshwater fish at similar nitrite concentrations is attributed to differences in their internal nitrite concentrations.
This toxicity is the reason many aquarists worry about nitrite in aquaria. It can be a significant problem in freshwater aquaria. Tests in marine species, however, showed the toxicity to be much lower. None of the thirteen marine fish species for which I could find nitrite toxicity data had LC50 values below 100 ppm, and half had LC50 values of 1,000 - 3,000 ppm or more.