It is shown that in an asymmetric quantum well, grown in the direction
z parallel-to [001] from semiconductors with a zinc blende structure,
the conduction-band spin splitting attributable to the absence of an
inversion center results in conduction-electron g-factor anisotropy in
the plane of the well. It is demonstrated for the example of a GaAs/A
lGaAs quantum well that the off-diagonal components g(xy)=g(yx) (x par
allel-to [100]), which characterize the electron g-factor anisotropy i
n the plane of the well, can be comparable in magnitude to the diagona
l components g(xx) = g(yy).