Each player will pay 5$ to attend the banquet for their soccer league and the league will pay for the rest of the cost. The total cost for the banquet is $960 if there are 60 players in the league find the cost per player
The league will pay for the cost of the banquet which is $960 - (60 players * $5 per player) = $<<960-(60*5)=660>>660
The cost per player is $660 / 60 players = $<<660/60=11>>11 per player. Answer: \boxed{11}.