The Lansing Police Department posted on their Facebook page that some guy is calling people in the area and identifying himself as an office of LPD, telling the person who answers that they have an issue with an 'unpaid ticket', then requesting a credit card number.

That's not how it works. That's a bad actor on the other end of the line trying to trick you.

"Lansing Police Department is not calling on traffic matters, any and all traffic issue are directed to the 54-A District court.
https://www.lansingmi.gov/175/Criminal-Traffic-Department "

Good day.