Google has coded their App Engine to read a 'push manifest' generated by a tool they publish [2]. Akamai gives you a GUI [3]. Cloudflare wants you to manually set headers [4] defined by the brand-new W3C draft 'preload' [5]. Last year, the Caddy devs blogged that HTTP/2 Push is essentially a big exercise for the reader/implementer [6].
I'm currently unaware of any web application framework which exposes idiomatic hooks to use HTTP/2 to push additional resources to the server. There are some generic server push addons or plugins that use older techniques from the websocket or pre-websocket days.
[1] https://news.ycombinator.com/item?id=12224258
[2] https://github.com/GoogleChrome/http2-push-manifest
[3] https://blogs.akamai.com/2016/04/are-you-ready-for-http2-ser...
[4] https://blog.cloudflare.com/announcing-support-for-http-2-se...
[5] https://www.w3.org/TR/preload/#server-push-http-2
[6] https://caddyserver.com/blog/implementing-http2-isnt-trivial