To process transactions on Polygon, you will need a small amount of POL (formerly known as MATIC) in your wallet to cover gas fees.
Similarly, for your Base wallet, you will need a small amount of ETH (on Base) in your wallet to cover gas fees.
This applies when you want to transfer ASK from your Permission wallet to another wallet.
If you need more information on how to add POL or ETH to your Permission wallet, please, refer to this guide.