  A new technique towards finding asymptotic normalization coefficients in the
complex-ranged Gaussian basis is presented. It is shown that a diagonalisation
procedure for the total Hamiltonian matrix in the given basis results in
approximation for a radial part of the bound state wave function from the
origin up to the far asymptotic distances, which allows to extract ANCs rather
accurately. The method is illustrated by calculations of single-particle ANCs
for nuclei bound states in cases of non-local nucleon-nucleus interactions, in
particular, phenomenological global potentials with the Perey-Buck's
non-locality.
