diff --git a/.github/workflows/cpp_extra.yml b/.github/workflows/cpp_extra.yml
index 5c0319897a72..756993f68715 100644
--- a/.github/workflows/cpp_extra.yml
+++ b/.github/workflows/cpp_extra.yml
@@ -377,8 +377,9 @@ jobs:
         include:
           - image: ubuntu-cpp-odbc
             title: AMD64 Ubuntu
-          - image: debian-cpp-odbc
-            title: AMD64 Debian
+          # GH-49582: TODO Enable Debian build for ODBC
+          # - image: debian-cpp-odbc
+          #   title: AMD64 Debian
     env:
       ARCH: amd64
       ARCHERY_DEBUG: 1
@@ -391,6 +392,12 @@ jobs:
         with:
           fetch-depth: 0
           submodules: recursive
+      - name: Create Docker Test Network
+        run: docker network create odbc_net
+      - name: Set Up Dremio Instance
+        run: |
+          docker compose -f cpp/src/arrow/flight/sql/odbc/tests/dremio/docker-compose.yml up -d
+          cpp/src/arrow/flight/sql/odbc/tests/dremio/set_up_dremio_instance.sh
       - name: Cache Docker Volumes
         uses: actions/cache@v5
         with:
diff --git a/compose.yaml b/compose.yaml
index bd417c524e4f..669cabdd9225 100644
--- a/compose.yaml
+++ b/compose.yaml
@@ -205,6 +205,11 @@ volumes:
   ubuntu-ccache:
     name: ${ARCH}-ubuntu-${UBUNTU}-ccache
 
+networks:
+  # GH-48068 for Flight SQL ODBC Testing
+  odbc_net:
+    external: true
+
 services:
 
   ################################# C++ #######################################
@@ -558,6 +563,7 @@ services:
       ARROW_DEPENDENCY_SOURCE: BUNDLED
       ARROW_DEPENDENCY_USE_SHARED: "OFF"
       ARROW_FLIGHT_SQL_ODBC: "ON"
+      ARROW_FLIGHT_SQL_ODBC_CONN: "driver={Apache Arrow Flight SQL ODBC Driver};HOST=dremio_container;port=32010;pwd=admin2025;uid=admin;useEncryption=false;UseWideChar=true;"
       ARROW_GANDIVA: "OFF"
       ARROW_GCS: "OFF"
       ARROW_HDFS: "OFF"
@@ -568,6 +574,8 @@ services:
       # GH-49651 Link ODBC tests statically on Linux to fix segfault
       ARROW_TEST_LINKAGE: "static"
     # Register ODBC before running tests
+    networks:
+      - odbc_net
     command: >
       /bin/bash -c "
         /arrow/ci/scripts/cpp_build.sh /arrow /build &&
diff --git a/cpp/src/arrow/flight/sql/odbc/tests/dremio/docker-compose.yml b/cpp/src/arrow/flight/sql/odbc/tests/dremio/docker-compose.yml
index eaab4d02b731..bf8f7f32ed4d 100644
--- a/cpp/src/arrow/flight/sql/odbc/tests/dremio/docker-compose.yml
+++ b/cpp/src/arrow/flight/sql/odbc/tests/dremio/docker-compose.yml
@@ -15,7 +15,9 @@
 # specific language governing permissions and limitations
 # under the License.
 
-# GH-48068 TODO: run remote ODBC tests on Linux
+networks:
+  odbc_net:
+    external: true
 
 services:
   dremio:
@@ -33,3 +35,5 @@ services:
       interval: 10s
       timeout: 5s
       retries: 30
+    networks:
+      - odbc_net
diff --git a/cpp/src/arrow/flight/sql/odbc/tests/dremio/set_up_dremio_instance.sh b/cpp/src/arrow/flight/sql/odbc/tests/dremio/set_up_dremio_instance.sh
old mode 100644
new mode 100755