It seems that Fox Sports has the broadcasting rights for the ICC Cricket World Cup in 2019. However, it just depends on the country. Different countries have different TV channels that have the broadcasting rights for airing the ICC Cricket World Cup 2019 live. In Central America and the Caribbean Islands, ESPN will be airing the ICC Cricket World Cup 2019. South American also has ESPN showing the world cup for cricket.
Fox sports will air these games in Australia, but that seems to be the only country that has Fox Sports airing the games. Most of the European and Asian countries that will be airing the games are online with a streaming service called Hotstar. There are a few other places online that will air the games.