diff --git a/scripts/flatpak/modules/21-libbacktrace.yaml b/scripts/flatpak/modules/10-libbacktrace.yaml
similarity index 100%
rename from scripts/flatpak/modules/21-libbacktrace.yaml
rename to scripts/flatpak/modules/10-libbacktrace.yaml
diff --git a/scripts/flatpak/modules/11-libzip.yaml b/scripts/flatpak/modules/11-libzip.yaml
new file mode 100644
index 000000000..fe6cb16a7
--- /dev/null
+++ b/scripts/flatpak/modules/11-libzip.yaml
@@ -0,0 +1,37 @@
+# SPDX-FileCopyrightText: 2019-2024 Connor McLaughlin <stenzek@gmail.com>
+# SPDX-License-Identifier: CC-BY-NC-ND-4.0
+
+name: libzip
+buildsystem: cmake-ninja
+builddir: true
+config-opts:
+  - "-DCMAKE_BUILD_TYPE=Release"
+  - "-DBUILD_SHARED_LIBS=ON"
+  - "-DENABLE_COMMONCRYPTO=OFF"
+  - "-DENABLE_GNUTLS=OFF"
+  - "-DENABLE_MBEDTLS=OFF"
+  - "-DENABLE_OPENSSL=OFF"
+  - "-DENABLE_WINDOWS_CRYPTO=OFF"
+  - "-DENABLE_BZIP2=OFF"
+  - "-DENABLE_LZMA=OFF"
+  - "-DENABLE_ZSTD=ON"
+  - "-DLIBZIP_DO_INSTALL=ON"
+  - "-DBUILD_TOOLS=OFF"
+  - "-DBUILD_REGRESS=OFF"
+  - "-DBUILD_OSSFUZZ=OFF"
+  - "-DBUILD_EXAMPLES=OFF"
+  - "-DBUILD_DOC=OFF"
+build-options:
+  strip: true
+sources:
+  - type: git
+    url: "https://github.com/nih-at/libzip.git"
+    commit: "9c8b818a1de143a4a8ee445351fb8f92115e33e1"
+cleanup:
+  - /bin
+  - /include
+  - /lib/*.a
+  - /lib/*.la
+  - /lib/cmake
+  - /lib/pkgconfig
+  - /share
diff --git a/scripts/flatpak/modules/22-shaderc.yaml b/scripts/flatpak/modules/21-shaderc.yaml
similarity index 100%
rename from scripts/flatpak/modules/22-shaderc.yaml
rename to scripts/flatpak/modules/21-shaderc.yaml
diff --git a/scripts/flatpak/modules/23-spirv-cross.yaml b/scripts/flatpak/modules/22-spirv-cross.yaml
similarity index 100%
rename from scripts/flatpak/modules/23-spirv-cross.yaml
rename to scripts/flatpak/modules/22-spirv-cross.yaml
diff --git a/scripts/flatpak/modules/24-cpuinfo.yaml b/scripts/flatpak/modules/23-cpuinfo.yaml
similarity index 100%
rename from scripts/flatpak/modules/24-cpuinfo.yaml
rename to scripts/flatpak/modules/23-cpuinfo.yaml
diff --git a/scripts/flatpak/modules/25-discord-rpc.yaml b/scripts/flatpak/modules/24-discord-rpc.yaml
similarity index 100%
rename from scripts/flatpak/modules/25-discord-rpc.yaml
rename to scripts/flatpak/modules/24-discord-rpc.yaml
diff --git a/scripts/flatpak/modules/26-soundtouch.yaml b/scripts/flatpak/modules/25-soundtouch.yaml
similarity index 100%
rename from scripts/flatpak/modules/26-soundtouch.yaml
rename to scripts/flatpak/modules/25-soundtouch.yaml
diff --git a/scripts/flatpak/modules/27-lunasvg.yaml b/scripts/flatpak/modules/26-lunasvg.yaml
similarity index 100%
rename from scripts/flatpak/modules/27-lunasvg.yaml
rename to scripts/flatpak/modules/26-lunasvg.yaml
diff --git a/scripts/flatpak/org.duckstation.DuckStation.yaml b/scripts/flatpak/org.duckstation.DuckStation.yaml
index 32466e794..dc1369f03 100644
--- a/scripts/flatpak/org.duckstation.DuckStation.yaml
+++ b/scripts/flatpak/org.duckstation.DuckStation.yaml
@@ -30,14 +30,15 @@ finish-args:
 
 modules:
   # Dependencies.
+  - "modules/10-libbacktrace.yaml"
+  - "modules/11-libzip.yaml"
   - "modules/20-sdl2.yaml"
-  - "modules/21-libbacktrace.yaml"
-  - "modules/22-shaderc.yaml"
-  - "modules/23-spirv-cross.yaml"
-  - "modules/24-cpuinfo.yaml"
-  - "modules/25-discord-rpc.yaml"
-  - "modules/26-soundtouch.yaml"
-  - "modules/27-lunasvg.yaml"
+  - "modules/21-shaderc.yaml"
+  - "modules/22-spirv-cross.yaml"
+  - "modules/23-cpuinfo.yaml"
+  - "modules/24-discord-rpc.yaml"
+  - "modules/25-soundtouch.yaml"
+  - "modules/26-lunasvg.yaml"
 
   # Main module.
   - name: duckstation