diff --git a/sources/Engine.ts b/sources/Engine.ts
index d93501596..a9742cfac 100644
--- a/sources/Engine.ts
+++ b/sources/Engine.ts
@@ -93,6 +93,31 @@ export async function activatePackageManager(lastKnownGood: Record<string, strin
   await createLastKnownGoodFile(lastKnownGood);
 }
 
+/**
+ * Checks if the command is a global operation.
+ * Global operations should be transparent since they operate outside
+ * of the project scope.
+ */
+function isGlobalCommand(packageManager: SupportedPackageManagers, args: Array<string>): boolean {
+  switch (packageManager) {
+    // npm/pnpm: any command with -g or --global flag
+    case SupportedPackageManagers.Npm:
+    case SupportedPackageManagers.Pnpm:
+      return args.includes(`-g`) || args.includes(`--global`);
+
+    // yarn: yarn global <command>
+    // Note: `yarn global` is only available in Yarn 1.x. If a newer version is used,
+    // Yarn itself will report an appropriate error.
+    case SupportedPackageManagers.Yarn:
+      return args[0] === `global`;
+
+    default:
+      // If a new package manager is added, TypeScript will error here
+      // reminding us to handle it
+      throw new Error(`Unhandled package manager: ${packageManager satisfies never}`);
+  }
+}
+
 export class Engine {
   constructor(public config: Config = defaultConfig as Config) {
   }
@@ -334,6 +359,12 @@ export class Engine {
         }
       }
 
+      // Global operations (install -g, uninstall -g) should be transparent
+      // since they operate outside of the project scope
+      if (!isTransparentCommand) {
+        isTransparentCommand = isGlobalCommand(packageManager, args);
+      }
+
       const fallbackReference = isTransparentCommand
         ? definition.transparent.default ?? defaultVersion
         : defaultVersion;
diff --git a/tests/main.test.ts b/tests/main.test.ts
index c629f002f..0f075c612 100644
--- a/tests/main.test.ts
+++ b/tests/main.test.ts
@@ -621,6 +621,95 @@ it(`should allow using transparent commands on npm-configured projects`, async (
   });
 });
 
+describe(`should allow global install/uninstall commands in projects configured for a different package manager`, () => {
+  it(`npm install -g in yarn project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `yarn@1.22.22`,
+      });
+
+      // npm install -g --help should work (we use --help to avoid actual installation)
+      await expect(runCli(cwd, [`npm`, `install`, `-g`, `--help`])).resolves.toMatchObject({
+        exitCode: 0,
+      });
+    });
+  });
+
+  it(`npm uninstall --global in yarn project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `yarn@1.22.22`,
+      });
+
+      await expect(runCli(cwd, [`npm`, `uninstall`, `--global`, `--help`])).resolves.toMatchObject({
+        exitCode: 0,
+      });
+    });
+  });
+
+  it(`npm i -g in pnpm project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `pnpm@9.0.0`,
+      });
+
+      await expect(runCli(cwd, [`npm`, `i`, `-g`, `--help`])).resolves.toMatchObject({
+        exitCode: 0,
+      });
+    });
+  });
+
+  it(`pnpm add -g in yarn project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `yarn@1.22.22`,
+      });
+
+      await expect(runCli(cwd, [`pnpm`, `add`, `-g`, `--help`])).resolves.toMatchObject({
+        exitCode: 0,
+      });
+    });
+  });
+
+  it(`pnpm remove --global in npm project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `npm@9.0.0`,
+      });
+
+      await expect(runCli(cwd, [`pnpm`, `remove`, `--global`, `--help`])).resolves.toMatchObject({
+        exitCode: 0,
+      });
+    });
+  });
+
+  it(`yarn global add in npm project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `npm@9.0.0`,
+      });
+
+      // yarn global add should not be blocked by project packageManager
+      // Note: If a Yarn version that doesn't support `global` is used,
+      // Yarn itself will report an appropriate error.
+      const result = await runCli(cwd, [`yarn`, `global`, `add`, `does-not-exist-pkg-12345`]);
+      expect(result.stderr).not.toContain(`This project is configured to use`);
+    });
+  });
+
+  it(`yarn global remove in pnpm project`, async () => {
+    await xfs.mktempPromise(async cwd => {
+      await xfs.writeJsonPromise(ppath.join(cwd, `package.json` as Filename), {
+        packageManager: `pnpm@9.0.0`,
+      });
+
+      // yarn global remove should not be blocked by project packageManager
+      const result = await runCli(cwd, [`yarn`, `global`, `remove`, `does-not-exist-pkg-12345`]);
+      expect(result.stderr).not.toContain(`This project is configured to use`);
+    });
+  });
+});
+
 it(`should transparently use the preconfigured version when there is no local project`, async () => {
   await xfs.mktempPromise(async cwd => {
     await expect(runCli(cwd, [`yarn`, `--version`])).resolves.toMatchObject({