Although the FAQs below says otherwise, a game on Facebook Network can also be played on SQ Network via using the mobile platform's game manager (Play Games / Game Center). Although you can't solely connect to a game on SQ Network, which you can on Facebook Network.
Q: Can I migrate (or share) my city from my current Android/iOS client to a new Android/iOS client? (e.g., a new tablet or smartphone)
A: No. Cities cannot be migrated or shared across multiple devices on the SQ-Network. 
A2: Yes - you can migrate your old city from an old iPhone to a new iPhone and share your city with both phones on the SQ network. Steps for AT&T -> Sprint iPhone 5 -> iPhone 5s on Budawpi's Megapolis Blog .
Q: Can I play my SQ-Network city on Facebook or SQ-Network?
A: No. Only FB-Network cities are playable on Facebook.