Right now, in feature cards, goals inherited can be chosen. But not in bulk edit.
Also, in bulk edit, you see other fields (like initiatives) that allow to chose inherited hierarchy initiatives... But not Goals field.
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Just Launched! — Make Bulk Changes to Your Product Roadmap Data
Bulk editing is now available in nearly all list reports. This allows you to quickly update most of your records including goals, initiatives, and releases. You can select associated goals from the available hierarchy for that record.
Learn how to use a list report to bulk edit your product data.