If a listing from WTT, a French distributor, is any indication, Batman Arkham Collection could be coming to Switch.
Batman Arkham Collection might include any variation of a combination of Batman: Arkham Asylum, Batman: Arkham City, Batman: Arkham Origins, and Batman: Arkham Knight, but no details are listed. so it is all left to speculation.
While nothing has been stated by the developers and publisher WB Interactive, the Batman games have been rumoured to come to Switch for a while. WTT lists a August 31, 2022 date on the site, but it remains to be seen if that is just a placeholder date.