As advised earlier you'll be unlucky not to find a spot in the terraces just off Kirkstall Lane very close to the ground.
If your late look out for some 2 hour controlled parking spots (0800-1800) on North lane and Ash Road, near the Headingley taps and the Arc bar which are yours till the the following morning at that time.
If you're feeling generous you can always use car park F on the St Micheal's lane side for £5 which goes to the club.
If you or your parents benefit from a blue badge there are usually parking spaces for disabled people on Kirkstall Lane itself; on the same side as the ground and past the gates heading towards Kirkstall. To use these though you have to be early as they fill up quickly and sometimes helpfully they are coned out of use.
Please though only use if you/parents have a blue badge as it is in my opinion a poor person who takes a blue badge space when they have no entitlement to use it and of course, it is an offence and I have seen wardens ticketing on these bays.
I find it's closer to park in the streets around Headingley Mount, Estcourt Terrace etc and go in at the Kirkstall Lane entrance than it is to park in the 'official' car park F and walk to the St Michaels Road entrance.
And leaving car park F after the match can be a long and tedious business sometimes. But do arrive early (3/4 hour before the match) to find a parking space close to the ground in the streets off Kirkstall Lane.
Have a good time, and I hope your parents enjoy it.
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