Hey @Tobi02 ,
Welcome to the Shopify Community! Great question, usually there should be an edit option next to each of the packages. Let’s see what we can do here.
If the grey text says, “the package is used to calculate shipping rates at checkout” then this package has been made your default package size. To remove the package, you’ll first need to assign one of your other packages as the default package size as Shopify requires you to have at least 1 default package size assigned to your account. You can do this by clicking Edit next to the package that should be the default size, and then selecting Use this package to calculate rates at checkout. After this, click Save.
Once you have changed the default package, try refreshing the page. Does an edit option now appear next to the box you’d like to remove? If so, you should be able to click Edit > Delete package. If not, please send a screenshot of what you are seeing and we can go from there.
Below is a screenshot of the Edit pop-up box:
Let me know how this goes, and if you have any questions!