We　investigate　a　Parker　problem　for　the　three-dimensional　compressible　isentropic　viscous　magnetohydrodynamic　system　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,　and　focus　on　the　stabilizing　effect　of　the　(equilibrium)　magnetic　field　through　the　non-slip　boundary　condition.　We　show　that　there　is　a　discriminant　Ξ　depending　on　the　known　physical　parameters,　for　the　stability/instability　of　the　Parker　problem.　More　precisely,　if　Ξ＞0,　then　the　Parker　problem　is　unstable,　i.e.,　the　Parker　instability　occurs,　while　if　Ξ　©　2018　Elsevier　B.V.