  Near-horizon symmetries are studied for static black hole solutions to
Einstein equations containing supertranslation field. We consider general
diffeomorphisms which preserve the gauge and the near-horizon structure of the
metric. Diffeomorphisms are generated by the vector fields and form a group of
near-horizon symmetries. The densities of variation of the surface charge
associated to asymptotic horizon symmetries of the metric are calculated in
different coordinate systems connected by "large" transformations which change
supertranslation field in the metric. Integrability of the variations of
surfacecharge is considered in different coordinate systems. The case of
integrable variation of the surface charge is studied in detail.
