Hotel offers some free parking options near its premises, however, these places are on first come, first serve basis, and are rather few, so it is a good idea to look for other options.
If you don’t mind paying a few euros, it is possible to park your car within RISEBA/RTU parking lot on Meža street 1a, check Google Maps. Alternatively, you can also park your car in one of the streets near Meža street for free.