How to Remove Excess Water from Chicken/Other Meats Prior to Cooking?
You can salt the chicken a few hours or a day in advance of cooking it (you don't need a lot of salt, just whatever you'd normally use to properly season it), and store it uncovered in the refrigerator on a small rack over a plate. The salt will draw moisture to the surface of the meat, and leaving it open to the fridge will allow some evaporation to occur. This is sometimes called "dry-brining". That should help but I don't think it will ever get the meat to the point it would be if the water had never been added in the first place.

Another thing to consider is the type of pan you're cooking in. A frying pan with short, flared sides will allow more evaporation to occur during cooking than a pan with taller, straight sides. Also, don't crowd the pan: make sure that there is empty space around each piece of chicken to allow as much evaporation as possible.