The city building is across the street from the park. If you have a city ticket, i think you pay it there.
I would need to know more information about the ticket before I can answer correctly. There are parking lot tickets, skating tickets, and other types of tickets as well. If this is a question about a ticket you got for an infraction, like speeding, then the answer is no. You cannot pay for a speeding ticket at the park.
Thanks! Your answer is awaiting moderation.