As of typescript 2 (or 2.x, not sure), you should import the chrome types from @types.

in package.json:

"devDependencies": {
    ...
    "@types/chrome": "0.0.35", // or just npm install --save-dev @types/chrome

And in tsconfig:

    "types": [
        //(various types, e.g. jquery, core-js),
        "chrome"
    ]

That should work fine : https://github.com/DefinitelyTyped/DefinitelyTyped/blob/master/types/chrome/index.d.ts

TIP: make sure you have a reference tag added:

/// <reference path="pathTo/chrome.d.ts"/>


You just need to install Type definition to make it work, let's install it:

yarn add @types/chrome --dev

or NPM

npm install @types/chrome --save-dev

now use free of error!