diff --git a/CMakeLists.txt b/CMakeLists.txt
index 78ccfb21329..7fc956ec982 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -30,10 +30,10 @@ set(PACKAGE_TARNAME   "${PACKAGE_NAME}-${PACKAGE_VERSION}")
 set(PACKAGE_BUGREPORT "https://github.com/grpc/grpc/issues/")
 project(${PACKAGE_NAME} C CXX)
 
-set(gRPC_INSTALL_BINDIR "${CMAKE_INSTALL_PREFIX}/bin" CACHE PATH "Installation directory for executables")
-set(gRPC_INSTALL_LIBDIR "${CMAKE_INSTALL_PREFIX}/lib" CACHE PATH "Installation directory for libraries")
-set(gRPC_INSTALL_INCLUDEDIR "${CMAKE_INSTALL_PREFIX}/include" CACHE PATH "Installation directory for headers")
-set(gRPC_INSTALL_CMAKEDIR "${CMAKE_INSTALL_PREFIX}/lib/cmake/${PACKAGE_NAME}" CACHE PATH "Installation directory for cmake config files")
+set(gRPC_INSTALL_BINDIR "bin" CACHE STRING "Installation directory for executables")
+set(gRPC_INSTALL_LIBDIR "lib" CACHE STRING "Installation directory for libraries")
+set(gRPC_INSTALL_INCLUDEDIR "include" CACHE STRING "Installation directory for headers")
+set(gRPC_INSTALL_CMAKEDIR "lib/cmake/${PACKAGE_NAME}" CACHE STRING "Installation directory for cmake config files")
 
 # Options
 option(gRPC_BUILD_TESTS "Build tests" OFF)
diff --git a/cmake/ssl.cmake b/cmake/ssl.cmake
index 75ce069fe62..53d8a1597e6 100644
--- a/cmake/ssl.cmake
+++ b/cmake/ssl.cmake
@@ -32,7 +32,13 @@ if("${gRPC_SSL_PROVIDER}" STREQUAL "module")
   endif()
 elseif("${gRPC_SSL_PROVIDER}" STREQUAL "package")
   find_package(OpenSSL REQUIRED)
-  set(_gRPC_SSL_LIBRARIES ${OPENSSL_LIBRARIES})
+  
+  if(TARGET OpenSSL::SSL)
+    set(_gRPC_SSL_LIBRARIES OpenSSL::SSL OpenSSL::Crypto)
+  else()
+    set(_gRPC_SSL_LIBRARIES ${OPENSSL_LIBRARIES})
+  endif()
   set(_gRPC_SSL_INCLUDE_DIR ${OPENSSL_INCLUDE_DIR})
+  
   set(_gRPC_FIND_SSL "if(NOT OPENSSL_FOUND)\n  find_package(OpenSSL)\nendif()")
 endif()
diff --git a/cmake/zlib.cmake b/cmake/zlib.cmake
index 16cd9e66d5a..e324802f656 100644
--- a/cmake/zlib.cmake
+++ b/cmake/zlib.cmake
@@ -34,6 +34,12 @@ if("${gRPC_ZLIB_PROVIDER}" STREQUAL "module")
   endif()
 elseif("${gRPC_ZLIB_PROVIDER}" STREQUAL "package")
   find_package(ZLIB REQUIRED)
-  set(_gRPC_ZLIB_LIBRARIES ${ZLIB_LIBRARIES})
+  
+  if(TARGET ZLIB::ZLIB)
+    set(_gRPC_ZLIB_LIBRARIES ZLIB::ZLIB)
+  else()
+    set(_gRPC_ZLIB_LIBRARIES ${ZLIB_LIBRARIES})
+  endif()
+  
   set(_gRPC_FIND_ZLIB "if(NOT ZLIB_FOUND)\n  find_package(ZLIB)\nendif()")
 endif()
diff --git a/templates/CMakeLists.txt.template b/templates/CMakeLists.txt.template
index 8de0ccde82a..8bd62dca436 100644
--- a/templates/CMakeLists.txt.template
+++ b/templates/CMakeLists.txt.template
@@ -74,10 +74,10 @@
   set(PACKAGE_BUGREPORT "https://github.com/grpc/grpc/issues/")
   project(<%text>${PACKAGE_NAME}</%text> C CXX)
 
-  set(gRPC_INSTALL_BINDIR "<%text>${CMAKE_INSTALL_PREFIX}</%text>/bin" CACHE PATH "Installation directory for executables")
-  set(gRPC_INSTALL_LIBDIR "<%text>${CMAKE_INSTALL_PREFIX}</%text>/lib" CACHE PATH "Installation directory for libraries")
-  set(gRPC_INSTALL_INCLUDEDIR "<%text>${CMAKE_INSTALL_PREFIX}</%text>/include" CACHE PATH "Installation directory for headers")
-  set(gRPC_INSTALL_CMAKEDIR "<%text>${CMAKE_INSTALL_PREFIX}/lib/cmake/${PACKAGE_NAME}</%text>" CACHE PATH "Installation directory for cmake config files")
+  set(gRPC_INSTALL_BINDIR "bin" CACHE STRING "Installation directory for executables")
+  set(gRPC_INSTALL_LIBDIR "lib" CACHE STRING "Installation directory for libraries")
+  set(gRPC_INSTALL_INCLUDEDIR "include" CACHE STRING "Installation directory for headers")
+  set(gRPC_INSTALL_CMAKEDIR "lib/cmake/<%text>${PACKAGE_NAME}</%text>" CACHE STRING "Installation directory for cmake config files")
 
   # Options
   option(gRPC_BUILD_TESTS "Build tests" OFF)