You cannot fully erase Amazon order history from your account
You can archive orders to hide them from the default order list
Sign in to your Amazon account
Go to Your Orders
Find the order you want to hide
Select Archive order
Confirm the action
To view archived orders, go to Account & Lists
Select Your Account
Open Archived Orders
You can delete browsing history separately
Go to Browsing History
Select Remove from view for items you want to hide
You can also clear search history in your account settings
Contact Amazon Customer Service if you need help with account privacy settings