This name is a synonym of Impatiens brachycentra Kar. & Kir..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50325678) with original publication details: Perech.r.Turk 2: 152 1909.
This name record (from Tropicos) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Impatiens parviflora in version 1 of The Plant List.