For a useful country-by-country analysis of arbitration law in dozens of jurisdictions, as well as an overview of the arbitration law generated at many leading arbitral institutions, the Getting the Deal Through guides are a useful starting point.
Many of the individual country chapters are publicly available online by the law firms that wrote them. You may, for instance, find the 2012 guide to Polish arbitration law online at https://laszczuk.pl/uploaded/Poland_2012.pdf, the guide to Guernsey arbitration law online at https://applebyglobal.com/publication-pdf-versions/articles/articles-2012/getting-the-deal-through-arbitration-(2012).pdf, and a recent guide to arbitration in Thailand at https://tilleke.com/resources/getting-deal-through-%E2%80%93-arbitration-2012-thailand-chapter.
While these guides do not substitute for the experience of a qualified professional, they are nevertheless very useful when in need of a rapid overview of the arbitration regime of a given country. The complete collection may be obtained from Getting the Deal Through itself, at https://gettingthedealthrough.com/.