To handle a "calling station" who refuses to fold, it's important to be patient and adjust your strategy to exploit their tendencies. Focus on value betting more aggressively, as they will often call with weaker hands. Avoid bluffing too much since they are likely to call down with marginal hands. Instead, try to build pots when you have strong hands and extract maximum value when you hit, while minimizing your risk with weaker holdings. Adjusting your bet sizes to encourage calls while protecting your stack is key.