By default, Google Chrome does not run extensions in Incognito mode, as they may compromise your privacy. However, if you want to allow extensions to run in incognito mode, this is easy to do. See below what you need to do.
First, open "Chrome". Click the "Extensions" icon on the toolbar (toolbar), which looks like a puzzle piece. When the menu appears, select "Manage extensions".
When appear On the Extensions tab, locate the name of the extension you want to activate in Incognito mode and click the "Details" button next to it.
Warning: Extensions that you enable in incognito mode may record the browsing history you or others privately data which could possibly be communicated to third parties. They will work just like they do in standard browsing mode. Make sure you trust the extension completely before giving it away access in your private tour.
If you need to do the same with other extensions, do so click on the back button and then visit the "Details" page of each extension. Enable "Allow in incognito" for any extension you want to use in incognito mode.
When done, close the "Extensions" tab and regulation will take effect immediately. You will be able to use them extensions that you have enabled in incognito mode and will continue be active and in non-private browsing mode. Have a good tour!
Source of information: howtogeek.com