Yes, this teleconverter is compatible with the Nikon D3200. Compatible with select Nikon DSLR cameras:
Including D2X, D3S, D3X, D4, D40X, D50, D60, D70, D80, D90, D200, D600, D610, D700, D800, D800E, D3000, D3100, D3200, D5000, D5100, D5200, D5300, D7000 and D7100 models. Not compatible with EF-S lenses.