Remove purchase history

You can't delete them entirely but you can hide them from some views.

Click on this link to learn how to 'Hide purchases from the App Store '- https://support.apple.com/HT201322

"If you don't want to see an app in your list of purchases in the App Store, hide it."

"What happens when you hide an app?

When you hide an app, it won't appear in your list of purchases in the App Store. If you use Family Sharing, the app also won't appear in family members' purchases and won't be available for family members to redownload. But the app will still appear in your purchase history."

You can see your purchase history, but you can't remove apps from your purchase history.