
Once installed, the Music Manager will ask you where you keep your music collection. Follow the installation instructions to get the music manager on you/ computer. On the next page, click the orange “Download Music Manager” button. Login to your Google account, then click “Upload Music” in the upper right-hand corner of the screen. To start, you’ll have to direct your web browser to /music. How to upload your iTunes music library into Google Play

It’s not exactly getting iTunes in Chromebook but it’s close enough.
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To do this you have to upload your iTunes music library to Google Play and from there you can access the library via chromebook. Use Linux or Wine to install iTunes directly into your Chromebook.How to upload your iTunes music library into Google Play.
