Any help from these?

https://stackoverflow.com/questions/26909831/access-current-page-from-a-blocks-controller

https://world.episerver.com/forum/legacy-forums/Episerver-7-CMS/Thread-Container/2013/1/How-to-get-a-reference-to-a-parent-block-from-current-block/

Not tested but something like this 

            Injected<IPageRouteHelper>  pageRouteHelper;


	    if (pageRouteHelper.Page is BasePageData currentPage)
            {
               var property = currentPage.Property
            }

So do you want to use the properties of the current page(not sure about parent page) on the block?

Hi Ričardas,

You can try this extension method to retrieve the Ancestor and Self-content.

public static IEnumerable<IContent> GetAncestorsAndSelf(this IContentLoader contentLoader, IContent content, bool includeEntries = false)
{
            if (contentLoader == null || content == null)
                return Enumerable.Empty<IContent>();

            var ancestorsAndSelf = contentLoader.GetAncestors(content.ContentLink)?.Reverse().ToList() ?? new List<IContent>();

            if (includeEntries && content is IContent entry)
            {
                var ancestorEntriesAndSelf = contentLoader.GetAncestorEntriesAndSelf(entry);
                ancestorsAndSelf.AddRange(ancestorEntriesAndSelf);
            }
            else
            {
                ancestorsAndSelf.Add(content);
            }

            return ancestorsAndSelf;
}