I have 2 tvs that I want to connect to my Sonos Arc soundbar.  Sound from both tvs will never be on at the same time

Example tv one I maybe playing a video game and tv 2 would be football and I want to listen to the game.   Another time I may want to hear the game and just have the game on to follow but not really care to hear it.  

What is the best way to hook up 2 tvs to the arc?  Can I use a hdmi splitter or matrix that supports eArc out?  Have the eArcs from both tvs go to hdmi one and hdmi 2 and then have the output of the splitter that supports eArc go to the Sonos Arc?