You can go to global package tracking (parcelsapp) you can simply enter your order id there and track it, however, if it don’t allow you to do that then you ask the person who bought the product to provide you either the tracking it or track the order for you.
You cannot track an Amazon order with the order number, either you have to log in to the account from which the order was purchased or you have to contact the person who bought the order and ask tracking id from him.
you have to ask for the tracking number from the person who bought the order for you. Without tracking numbers or logging in to an account you cannot track any parcel.
Order tracking without logging in is currently not possible on Amazon. You can stay logged in on the app or log in each time you open it if you want to keep tracking your Amazon deliveries.