You can directly get notifications send to your team's Slack channel:
As a first step enable the Slack integration from your "Notifications" card in the "API, CDN, NOTIFICATIONS" tab on the project settings page:
And finally choose a channel to send new notifications to:
If you want to select a private channel, make sure you add the locize slack user to that channel first.
There's also the possibility to use Slack commands. Try /locize help to see the available options.