What are the requirements to play Kingdom Hearts on Nintendo Switch?

The following information is taken from Nintendo Support general FAQ regarding Cloud-based games:

What do I need to have except for a Nintendo Switch and the game to play?

Since the games are streamed through the cloud, you will need a consistent and stable connection to an internet source.

Do I need to have an online subscription?

No, you do not need Nintendo Switch Online services to purchase and play the cloud-based games, but you do need it to access and use any online features.