Only text channels I believe. There’s a sidebar sort of like the one in the actual Discord app that shows your inbox, SMS, Messenger, etc. Discord servers show up in there, then when you select one it shows you the list of channels as though they’re regular conversations. You can set whether or not they show up in your inbox and/or notify you individually for each channel, and the ones you don’t want you just set to low priority and they’ll be hidden. It’s not a perfect replacement, but if you don’t need voice/streaming it works fine.

Since it’s been mentioned here but nobody’s said anything else about it yet, Beeper is nice because it connects a bunch of different apps and everything syncs instantly between PC and mobile. I personally use it for Matrix, a couple of Discord servers, Messenger (for those friends who won’t leave) and SMS.