diff --git a/cpp/cmake_modules/ThirdpartyToolchain.cmake b/cpp/cmake_modules/ThirdpartyToolchain.cmake
index 543b7486d5384..ad7344b09dd4e 100644
--- a/cpp/cmake_modules/ThirdpartyToolchain.cmake
+++ b/cpp/cmake_modules/ThirdpartyToolchain.cmake
@@ -1813,8 +1813,8 @@ if(ARROW_WITH_PROTOBUF)
     set(ARROW_PROTOBUF_REQUIRED_VERSION "2.6.1")
   endif()
   if(ARROW_ORC
-     OR ARROW_WITH_OPENTELEMETRY
-     OR ARROW_SUBSTRAIT)
+     OR ARROW_SUBSTRAIT
+     OR ARROW_WITH_OPENTELEMETRY)
     set(ARROW_PROTOBUF_ARROW_CMAKE_PACKAGE_NAME "Arrow")
     set(ARROW_PROTOBUF_ARROW_PC_PACKAGE_NAME "arrow")
   elseif(ARROW_FLIGHT)