If you just need a smallish key-value cache, you could use the file system. D:\HOME
(also found in the environment variable %HOME%
) is shared across all instances. I'm not sure if the capacities are any different for Azure Functions, but for Sites and WebJobs, Free and Shared sites get 1GB of space, Basic sites get 10GB, and Standard sites get 50GB.
Alternatively, you could try running .NET ObjectCache in production. It may survive multiple calls to the same instance (file system or static in-memory property). Note, this will not be shared across instances though so only use it as a best effort cache.
Note, both of these approaches pose problems for multi-tenant products as it could be an avenue for unintended cross-tenant data sharing or even more malicious activities like DNS cache poisoning. You'd want to implement authorization controls for these things just as if they came from a database.
As others have suggested, Functions ideally should be stateless and an out of process solution is probably best. I use DocumentDB because it has time-to-live functionality which is ideal for a cache. Redis is likely to be more performant especially if you don't need persistence across stop/restart.