Hytale is currently only planned for PC & Mac according to their FAQ:

Hytale will launch for PC and Mac, with the capacity to run game servers on Linux. We’ll explore the possibility of releasing the game on other platforms during development, but for now our focus is on PC and Mac.

If you are strictly a console player, I wouldn't be too worried. The game would likely follow the same path as Minecraft if it gets popular. You could likely expect console and mobile versions to follow.

System Information

There is no exact information for system specs just yet. We're obviously hoping this is going to be a relatively equipment friendly game due to the blocky graphics, but it seems to be quite a bit more detailed than Minecraft. I would expect the game to need a bulkier system than Minecraft, but it will depend on how optimized the game ends up being. More information from their FAQ:

We don’t have official minimum specs yet, but currently you can play Hytale on a low end integrated laptop GPU with default view distance just fine. We understand that many players in our community are running lower-end computers. That said, there will also be extensive graphics options available for players with more powerful systems.