Switch current tab from notification in Google Chrome extension

Not sure, but could you try adding a content script in an inactive tab (or just in all tabs), then sending a request to a non-active tab (sendRequest)? The content script should execute window.focus(). Again, not sure whether this works.

Update the inactive tab, and pass { selected: true }. That should work, since it's listed as an available setting there.

Use active:true to switch to tab/focus it, and highlighted:true to select one or many like when you wanna move them around.

You can make a tab selected with:

chrome.tabs.update(tabId, {highlighted: true});

Chrome API is available inside notification html, so you can call any chrome.* method you like.