managed mysql connection pooling proxy for azure function
In short: AWS RDS Proxy equivalent solution for Azure.
Using managed RDBMS like mySQL from FaaS is often said to be a bad practice because of difficulties of handling connection; FaaS might finish before closing its connection, might consumes too much connections when requests burst.
Instead, using connectionless database is encouraged, but in many usecases, RDB's functionality is still preferred over connectionless DB(such as CosmosDB), because of its flexibility of queries and transaction.
AWS resolves this dilemma by providing a managed connection pooling point called RDS Proxy.

No plans on this at the moment, but keep the votes coming. We do recommend connection pooling where clients support it, such as best effort use of statics or, for .NET, dependency injection of the client.