While talking about bringing Diablo 3 to Nintendo Switch, senior producer Pete Stilwell said that working on the game was a good opportunity for Blizzard to explore the Switch technology and get a better understanding of it. This was made easier by the fact that Diablo 3 has already been ported to consoles. With this in mind, GameSpot asked Stilwell how he felt about bringing Overwatch to the platform.
"Anything is within the realm of possibility," he said. "Our team was given the task to work on this. If [Overwatch developer] Team 4 picks up that endeavour, that's on them. As of right now Diablo is our only focus on Switch." Asked if he thinks Overwatch could run on Switch, Stilwell said, "Yes, it is feasible."
https://www.gamespot.com/articles/overwatch-on-switch-is-feasible-but-starcraft-2-is/1100-6461195/