A chapter 7 will not discharge your parking tickets.
A chapter 13 will discharge your parking tickets, but only if you pay them off in full over your 3-5 year plan.
Parking tickets fall into the priority debt category of bankruptcy. Priority creditors generally are not discharged in bankruptcy. Under the Bankruptcy Code, 11 U.S.C. § 523(a)(7), these include:
(a) A discharge under section 727, 1141, 1228(a), 1228(b), or 1328(b) of this title does not discharge an individual debtor from any debt…
(7) to the extent such debt is for a fine, penalty, or forfeiture payable to and for the benefit of a governmental unit,
A ticket is a fine or penalty payable to and for the benefit of a governmental unit. The ticket pictured above is a fine/penalty which I now get to pay to the City of Salt Lake.
There are some exceptions, but as a general rule of thumb, you will have to pay those parking tickets. Now, if you’ve lost your license because of payments issues, bk may help, but that’s a different issue: https://robertspaynelaw.com/myutahbankruptcyblog/2014/08/12/can-i-get-my-suspended-or-revoked-drivers-license-back-after-i-file-bankruptcy/