Linking a bank account is the only way to withdraw money from PayPal. If you have money on your PayPal account and you cannot withdraw them due to the fact that you cannot link a bank account, do not hope that PayPal customer support will assist you with your withdrawal. PayPal security system is completely automatic and support members from PP are not able to interfere the system or change its algorithms. If you want to withdraw your money from PayPal, you can do it only by linking a valid bank account.
Let me tell you what happened to me when I tried to link my Payoneer bank account to PayPal. As always, I inserted my Payoneer bank's routing number and checking account. In the beginning, PayPal accepted my account and sent a few cents to my bank to confirm that this bank account belongs to me. I successfully confirmed the account and my virtual Payoneer bank account was successfully linked to my PayPal. I thought that the problem is completely resolved, and I will be able to withdraw my money with ease. That time, I had thousands of dollars on my PP. I continued selling goods on eBay and receiving money to my PayPal. I was confident that I will surely withdraw the money. After a few days, I have noticed that the bank account was deleted from my PayPal. I tried to link the bank again, but I got an error which did not let me do it. I contacted the customer support at PayPal and they told me that they do not accept virtual bank accounts. Their system has detected that my bank account was virtual, and for that reason, it was completely deleted from my PayPal.