With　the　development　of　quantum　wireless　networks,　the　practical　application　of　quantum　private　query　(QPQ)　should　conform　to　the　features　of　quantum　wireless　networks　to　achieve　any-to-any　query,　and　QPQ　requires　a　new　query　mechanism.　We　first　propose　a　scheme　for　a　network　private　query　in　a　quantum　wireless　network　with　multiple　third　parties,　in　which　any　user　can　query　any　database　with　the　assistance　of　the　third　parties,　by　measuring　each　of　the　distant　nodes　that　initially　share　entanglement　with　each　other.　The　required　entanglement　among　these　nodes　is　established　by　the　third-party　intermediate　node　equipped　with　GHZ　generator　using　multi-qubit　GHZ　states.　A　bilayer　network　topology,　as　well　as　the　corresponding　private　query　protocol,　ensures　the　rapid　and　secure　private　query.　Under　the　protection　of　the　multi-qubit　GHZ　state＇s　quantum　correlation,　the　privacy　of　Alice　and　Bob　is　protected　from　the　third　parties＇　fake　entangled　attack　and　external　attack,　and　they　cannot　obtain　the　privacy　of　each　other　by　taking　quantum　memory　attack.　The　performance　parameters　of　the　proposed　scheme　are　described　based　on　the　analysis　of　classical　wireless　communication　cost　and　communication　delay.