You can check at their web.
If no English page or even Google translate didn't work,
find the below words at top(with basic info) or access info page.
駐車場(chusha-jo) : parking
有/有り/あり(ari) : exist
無/無し/なし(nashi) : none
予約(yoyaku) : reservation
アクセス/交通案内 : access info (url using "access" a lot as directory=folder or file name of page)
Many sites using Google map with, use street view and find a parking "P" sign.
You may see it if not placed underground, behind the buiding or tower type.
https://youtu.be/KjtuI0FNn8c (height 1.55m=1550mm max mostly, also lift type)
https://s3-ap-northeast-1.amazonaws.com/pep-prd-private/upload/parking/2017012358859ae8737af.jpg
https://youtu.be/IWFVdeKQ5xI(passengers except driver and baggage out first before parking start, bc it is narrow.)
If they contract near parking,
if you submitted a parking ticket to the front, will be free or discounted.
(駐車券 : parking ticket)
You can also search at "Goodle Map(.com)".
Please enter "(area name) ホテル 駐車場 無料".
If looking for a ryokan(traditional inn), input 旅館 replaced ホテル: hotel.