  Using symmetry analysis and density functional theory calculations, we
uncover the nature of Dzyaloshinskii-Moriya interaction in Fe$_3$GeTe$_2$
monolayer. We show that while such an interaction might result in small
distortion of the magnetic texture on the short range, on the longrange
Dzyaloshinskii-Moriya interaction favors in-plane N\'eel spin-spirals along
equivalent directions of the crystal structure. Whereas our results show that
the observed N\'eel skyrmions cannot be explained by the Dzyaloshinskii-Moriya
interaction at the monolayer level, they suggest that canted magnetic texture
shall arise at the boundary of Fe$_3$GeTe$_2$ nanoflakes or nanoribbons and,
most interestingly, that homochiral planar magnetic textures could be
stabilized.
