How to untangle spring for kitchen faucet hose?
You can't untangle it easily while the hose is in place.

If you can remove the hose, this becomes straightforward; rotate the sections of spring 90 degrees to each other, and it should become obvious that pushing one through the other will either disengage them or make the problem worse. If it looks like it will make the problem worse, rotate one side 180 degrees and look again. If that still doesn't look like it will help, rotate back the other way. 

Websearching "untangling a spring" or "untangling a slinky" will find illustrations/videos that will help you with this. From what you've shown us, it looks like there's just a single crossing that needs to be backed out.

Then reinstall the hose and you should be good to go.