Of course there is some parking, but there is no need for a dedicated car park for this market.

Most people visit this market (Striezelmarkt in Dresden, Germany) using public transport, yes, but the market does have a "dedicated" car park.

In fact, this market is built directly on top of a giant underground car park.

See https://maps.app.goo.gl/vXcRMCcs95o7HoM7A