PS: I am not having access to comment, so adding it as an answer. Hope this helpful.

1. Contact information is stored in the xdb collection database. You can check the data in the ContactFacets table. Example: [sc102_Xdb.Collection.Shard1].[xdb_collection].[ContactFacets]. If the contact is properly saved, you may find three records with FacetKey such as Emails, ListSubscriptions (contains subscribed contact list details), and Personal (contains personal information).
	
2. Also check the xdb index is updated and having latest entries. Solr portal > select {scinstance_xdb}. Try reloading the Solr core or restarting the Solr services.
[![Solr portal - Statistics of the core][1]][1]

3. You can also checkout the answer to the similar question for Sitecore 9 here: https://sitecore.stackexchange.com/questions/34987/contact-added-manually-doesnt-appear-in-contact-list-in-list-manager-sitecore-10 and see https://doc.sitecore.com/xp/en/developers/102/sitecore-experience-platform/rebuild-the-xdb-index-in-solr.html for more information on rebuilding the xdb index.


  [1]: https://i.sstatic.net/94Kw8.png