A parking ticket is may or may not affect your insurance rates depending on how your specific insurance company assigns points to such infractions. There are insurance companies that will not raise rates due to a single parking ticket but if there are multiple ones or unpaid tickets that lead to a driver's license suspension your rates would likely be affected.

You should discuss your insurance companies rating system with your insurance agent or you can contact your state's insurance regulatory body and find out about your company's rates that are filed with them.