Experienced this error myself last night with some friends. It eventually went away after partying back up but we've seen others mention this here and on other channels too.
For those on PC there is another post on it here.
PlayStation 4 users can find a post on it here.
It looks like power cycling the console and network can help. We recommend trying that while we forward this to the Apex Legends team to review.
Reboot the power to the modem/router
- Unplug the power cable from your modem/router for 5-10 minutes to refresh the network.
PS4:
Power Cycle
- Touch the power button on the front of the PS4 for at least 7 seconds (until the system beeps twice).
- Turn it back on after 1 minute. Launch the game.
Xbox One:
Power Cycle the Console
- Turn off the Xbox One console by pressing the Xbox button on the front of the console for about 10 seconds until it shuts down completely.
- Unplug the console's power cable. Wait 10 seconds.
Important Be sure to wait 10 seconds. This step resets the power supply.
- Plug the console power cable back in.
- Press the Xbox button on your console to turn on the Xbox One.
Clear Mac Address
- Clear the MAC Address: From the Xbox dashboard select Settings>All Settings>Network>Network Settings>Advanced Settings>Alternate MAC address>Clear, then restart your Xbox.