Select the neo4j image provided by Cognosys from VM Depot on azure portal
Once the VM is started open the port 7474.
You can visit the neo4j webportal using [yourvmname].cloudapp.net;7474/webadmin
Neo4j
neo4j successful install
Technical perspective
Installing neo4j with Azure VM Depot Image
A preserved technical perspective from the CognoSys engineering archive. Product names, interfaces, availability, and recommended practices may have changed since original publication.