We　mathematically　investigate　the　Parker　instability　in　the　three-dimensional　compressible　isentropic　viscous　magnetohydrodynamic　(MHD)　fluid　with　zero　resistivity　in　the　presence　of　a　modified　gravitational　force　in　a　vertical　strip　domain　in　which　the　velocity　of　the　fluid　is　non-slip　on　the　boundary.　We　prove　the　existence　of　Parker　instability　solutions　in　the　sense　of　L-2-norm　in　Lagrangian　coordinates　based　on　a　classical　bootstrap　instability　method　with　finer　skills　of　energy　estimates.　By　an　inverse　transformation　of　Lagrangian　coordinates,　we　also　get　Parker　instability　solutions　in　L-2-norm　in　Eulerian　coordinates.　(C)　2019　Elsevier　Ltd.　All　rights　reserved.