In Diablo 4, players can obtain a horse, but it is not available until Act 4. 

The quest "Mount: Doran's Favor" in Kyovashad will grant access to the horse. 

Once obtained on one character, all other characters on the account will have immediate access to the horse.

The horse serves as a cosmetic feature with various adornments, some of which can be earned through gameplay or purchased.

While the inclusion of the horse felt odd during gameplay, considering the availability of fast-travel points,

it is not usable in dungeons or interior quest areas.

Blizzard is likely to focus on horse cosmetics as a revenue driver,

and hopefully, there will be ample opportunities to earn these cosmetics through gameplay.